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Finding the Fourth Proportional to 10,096.88, 15,069.70 and 9,432.57

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Solution

The fourth proportional to 10,096.88, 15,069.70 and 9,432.57 is: 14,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.88 : 15,069.70 = 9,432.57 : x
  2. Step 2: Convert to fraction form
    10,096.88/15,069.70 = 9,432.57/x
  3. Step 3: Cross multiply
    10,096.88x = 15,069.70 × 9,432.57
  4. Step 4: Simplify right side
    10,096.88x = 142,146,000.13
  5. Step 5: Solve for x
    x = 142,146,000.13/10,096.88
  6. Step 6: Final answer
    x = 14,078.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.