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Finding the Fourth Proportional to 10,073.92, 15,094.17 and 6,170.13

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Solution

The fourth proportional to 10,073.92, 15,094.17 and 6,170.13 is: 9,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.92 : 15,094.17 = 6,170.13 : x
  2. Step 2: Convert to fraction form
    10,073.92/15,094.17 = 6,170.13/x
  3. Step 3: Cross multiply
    10,073.92x = 15,094.17 × 6,170.13
  4. Step 4: Simplify right side
    10,073.92x = 93,132,991.14
  5. Step 5: Solve for x
    x = 93,132,991.14/10,073.92
  6. Step 6: Final answer
    x = 9,244.96

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1.5x scale

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.