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Finding the Fourth Proportional to 10,902.60, 16,353.90 and 10,092.60

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Solution

The fourth proportional to 10,902.60, 16,353.90 and 10,092.60 is: 15,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.60 : 16,353.90 = 10,092.60 : x
  2. Step 2: Convert to fraction form
    10,902.60/16,353.90 = 10,092.60/x
  3. Step 3: Cross multiply
    10,902.60x = 16,353.90 × 10,092.60
  4. Step 4: Simplify right side
    10,902.60x = 165,053,371.14
  5. Step 5: Solve for x
    x = 165,053,371.14/10,902.60
  6. Step 6: Final answer
    x = 15,138.90

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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.