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Finding the Fourth Proportional to 10,605.92, 15,847.80 and 8,092.68

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Solution

The fourth proportional to 10,605.92, 15,847.80 and 8,092.68 is: 12,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.92 : 15,847.80 = 8,092.68 : x
  2. Step 2: Convert to fraction form
    10,605.92/15,847.80 = 8,092.68/x
  3. Step 3: Cross multiply
    10,605.92x = 15,847.80 × 8,092.68
  4. Step 4: Simplify right side
    10,605.92x = 128,251,174.10
  5. Step 5: Solve for x
    x = 128,251,174.10/10,605.92
  6. Step 6: Final answer
    x = 12,092.41

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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.