Solving ProportionsTwo equal ratios, and the cross-multiplication that solves them.7th GradeIf two ratios are equal, the cross products are equal.That turns a proportion into a one-step equation.a/b = c/d → ad = bc3/4 = x/20x = 153 × 20 = 4x, so 60 = 4x.x/5 = 12/15x = 415x = 60.2 kg costs £3, 7 kg?£10.503/2 = x/7 → 2x = 21.Scale 1 : 50, model 6 cm300 cm realScale factors are just proportions.THE COMMON MISTAKE3/4 = x/20 → x = 3 × 4 × 203/4 = x/20 → 4x = 60 → x = 15Cross multiply gives an equation to solve, not the answer itself.Label both fractions with units. If the units are not in matching positions,the setup is wrong.Solving Proportionslearnposters.com
Solving Proportions — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Solving Proportions poster

The rule, 4 worked examples, and the mistake everyone makes.

Label both fractions with units. If the units are not in matching positions, the setup is wrong.

Questions about the Solving Proportions poster

What’s on the Solving Proportions poster?
The rule, 4 worked examples, and the mistake everyone makes. If two ratios are equal, the cross products are equal. That turns a proportion into a…; a/b = c/d → ad = bc; 3/4 = x/20 = x = 15; x/5 = 12/15 = x = 4; 2 kg costs £3, 7 kg? = £10.50; Scale 1 : 50, model 6 cm = 300 cm real; Common mistake: 3/4 = x/20 → x = 3 × 4 × 20 → 3/4 = x/20 → 4x = 60 → x = 15. Label both fractions with units. If the units are not in matching positions, the setup is wrong.
Who is the Solving Proportions poster for?
Solving Proportions is filed under 7th Grade (ages 12–13), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Solving Proportions poster?
Set it up with the same quantity on top of both fractions. Units keep you honest. A wall chart earns its place by being glanceable from where the work is happening, so Solving Proportions belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Solving Proportions?
Probability, Operations with Rational Numbers and Scale Drawings sit alongside Solving Proportions in the 7th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.ProbabilityOperations with Rational NumbersScale Drawings
Is the Solving Proportions poster free to download and print?
Yes. Solving Proportions downloads as a free PDF with no account, no email and no watermark, like everything else in the 7th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Solving Proportions poster print at?
Solving Proportions is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Solving Proportions loses nothing.Printing guide

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