Question

\\(\frac{8}{24} = \frac{3}{x}\\)

Explanation:

Step1: Cross - multiply the proportion

We have the proportion \(\frac{8}{24}=\frac{3}{x}\). Cross - multiplying gives us \(8\times x = 24\times3\).

Step2: Simplify the right - hand side

Calculate \(24\times3 = 72\), so the equation becomes \(8x=72\).

Step3: Solve for \(x\)

Divide both sides of the equation \(8x = 72\) by 8. That is \(x=\frac{72}{8}\).
Simplifying \(\frac{72}{8}\), we get \(x = 9\).

Answer:

\(x = 9\)