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Finding the Fourth Proportional to 34,374, 51,561 and 9,750

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Solution

The fourth proportional to 34,374, 51,561 and 9,750 is: 14,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374 : 51,561 = 9,750 : x
  2. Step 2: Convert to fraction form
    34,374/51,561 = 9,750/x
  3. Step 3: Cross multiply
    34,374x = 51,561 × 9,750
  4. Step 4: Simplify right side
    34,374x = 502,719,750
  5. Step 5: Solve for x
    x = 502,719,750/34,374
  6. Step 6: Final answer
    x = 14,625

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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.