Question

1. gridded response solve the proportion \\(\frac{x}{18} = \frac{7}{21}\\).

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{x}{18}=\frac{7}{21}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(x\times21=18\times7\).

Step2: Simplify and solve for x

First, calculate \(18\times7 = 126\). So the equation becomes \(21x = 126\). Then, divide both sides of the equation by 21: \(x=\frac{126}{21}\). Simplifying \(\frac{126}{21}\), we get \(x = 6\).

Answer:

\(6\)