solve the proportion and check.\n$\frac{-7}{4}=\frac{28}{p}$

solve the proportion and check.\n$\frac{-7}{4}=\frac{28}{p}$

solve the proportion and check.\n$\frac{-7}{4}=\frac{28}{p}$

Answer

Explanation:

Step1: Cross - multiply

$-7\times p=4\times28$

Step2: Simplify the right - hand side

$-7p = 112$

Step3: Solve for p

$p=\frac{112}{-7}$ $p=-16$

Step4: Check the solution

Substitute $p = - 16$ into the original proportion: Left - hand side: $\frac{-7}{4}$ Right - hand side: $\frac{28}{-16}=\frac{7}{-4}=\frac{-7}{4}$ Since the left - hand side equals the right - hand side, the solution is correct.

Answer:

$p=-16$