Problem preview
MF.PR.7 Challenge MF-021-A13-V01

Solve proportion equations and explain why the setup matches the context.

Choose a smart way to solve a proportion

Problem

For \(4/6~=~x/24\), apply the visible factor \(4\) that scales \(6\) to \(24\). Use method A and its scale factor to solve for \(x\).

Big Picture

What this problem is really about

The useful clue is the simple factor connecting the two denominators. Because equivalent ratios scale both positions together, apply that same factor to the matching numerator instead of building a longer cross-product calculation. Then reduce the resulting ratio to confirm that it still represents the same relationship.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.7
Category
Proportional Reasoning
Domain
Equations
Objective
Solve proportion equations and explain why the setup matches the context.
Problem type
Choose a smart way to solve a proportion