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Finding the Fourth Proportional to 8,098.47, 12,158.88 and 5,593.77

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Solution

The fourth proportional to 8,098.47, 12,158.88 and 5,593.77 is: 8,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.47 : 12,158.88 = 5,593.77 : x
  2. Step 2: Convert to fraction form
    8,098.47/12,158.88 = 5,593.77/x
  3. Step 3: Cross multiply
    8,098.47x = 12,158.88 × 5,593.77
  4. Step 4: Simplify right side
    8,098.47x = 68,013,978.18
  5. Step 5: Solve for x
    x = 68,013,978.18/8,098.47
  6. Step 6: Final answer
    x = 8,398.37

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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.