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Finding the Fourth Proportional to 10,997.92, 16,497.65 and 4,424.13

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Solution

The fourth proportional to 10,997.92, 16,497.65 and 4,424.13 is: 6,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.92 : 16,497.65 = 4,424.13 : x
  2. Step 2: Convert to fraction form
    10,997.92/16,497.65 = 4,424.13/x
  3. Step 3: Cross multiply
    10,997.92x = 16,497.65 × 4,424.13
  4. Step 4: Simplify right side
    10,997.92x = 72,987,726.17
  5. Step 5: Solve for x
    x = 72,987,726.17/10,997.92
  6. Step 6: Final answer
    x = 6,636.50

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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.