Question

solve for s in the pr
\\(\frac{15}{14} = \frac{7.5}{s}\\)
\\(s = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{15}{14}=\frac{7.5}{s}\), cross - multiplying gives us \(15\times s = 14\times7.5\).

Step2: Calculate the right - hand side

First, calculate \(14\times7.5\). We know that \(14\times7.5 = 105\). So the equation becomes \(15s=105\).

Step3: Solve for \(s\)

To solve for \(s\), divide both sides of the equation \(15s = 105\) by 15. That is \(s=\frac{105}{15}\).

Step4: Simplify the fraction

Simplifying \(\frac{105}{15}\), we get \(s = 7\).

Answer:

\(s = 7\)