Finding the Fourth Proportional to 34,374, 51,564 and 9,750
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Solution
The fourth proportional to 34,374, 51,564 and 9,750 is: 14,625.85
Step by Step Solution
- Step 1: Write the proportion equation
34,374 : 51,564 = 9,750 : x - Step 2: Convert to fraction form
34,374/51,564 = 9,750/x - Step 3: Cross multiply
34,374x = 51,564 × 9,750 - Step 4: Simplify right side
34,374x = 502,749,000 - Step 5: Solve for x
x = 502,749,000/34,374 - Step 6: Final answer
x = 14,625.85
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.