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Finding the Fourth Proportional to 10,084.85, 15,125.24 and 9,584.70

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Solution

The fourth proportional to 10,084.85, 15,125.24 and 9,584.70 is: 14,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.85 : 15,125.24 = 9,584.70 : x
  2. Step 2: Convert to fraction form
    10,084.85/15,125.24 = 9,584.70/x
  3. Step 3: Cross multiply
    10,084.85x = 15,125.24 × 9,584.70
  4. Step 4: Simplify right side
    10,084.85x = 144,970,839.90
  5. Step 5: Solve for x
    x = 144,970,839.90/10,084.85
  6. Step 6: Final answer
    x = 14,375.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.