solve the proportion of 7.5/26 = 75/p
Cross multiply. Then solve for p,
flip it upside down, so you have
p/75 = 26/7.5
p = 26/7.5 * 75 = 260
To solve the proportion 7.5/26 = 75/p, you can use cross-multiplication.
Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa, then setting the two products equal to each other.
Here's the step-by-step process:
Step 1: Multiply the numerator of the first fraction (7.5) by the denominator of the second fraction (p).
7.5 * p = 7.5p
Step 2: Multiply the denominator of the first fraction (26) by the numerator of the second fraction (75).
26 * 75 = 1950
Step 3: Set the two products equal to each other.
7.5p = 1950
Step 4: Solve the equation for p by dividing both sides by 7.5.
p = 1950 / 7.5
Step 5: Simplify the right side of the equation.
p ≈ 260
Therefore, the proportion 7.5/26 is equal to 75/260.