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solve the proportion. \\(\frac{3}{4} = \frac{y}{14}\\) \\(y = \\square\…

Question

solve the proportion.
\\(\frac{3}{4} = \frac{y}{14}\\)
\\(y = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{3}{4}=\frac{y}{14}\), cross - multiplying gives us \(4\times y = 3\times14\).

Step2: Simplify the right - hand side

Calculate \(3\times14 = 42\), so the equation becomes \(4y=42\).

Step3: Solve for y

Divide both sides of the equation \(4y = 42\) by 4. We get \(y=\frac{42}{4}=\frac{21}{2}=10.5\).

Answer:

\(y = \frac{21}{2}\) (or \(y = 10.5\))