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Finding the Fourth Proportional to 8,501, 12,737.28 and 6,023.84

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Solution

The fourth proportional to 8,501, 12,737.28 and 6,023.84 is: 9,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501 : 12,737.28 = 6,023.84 : x
  2. Step 2: Convert to fraction form
    8,501/12,737.28 = 6,023.84/x
  3. Step 3: Cross multiply
    8,501x = 12,737.28 × 6,023.84
  4. Step 4: Simplify right side
    8,501x = 76,727,336.76
  5. Step 5: Solve for x
    x = 76,727,336.76/8,501
  6. Step 6: Final answer
    x = 9,025.68

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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.