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Finding the Fourth Proportional to 11,644.97, 17,472.33 and 6,101.96

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Solution

The fourth proportional to 11,644.97, 17,472.33 and 6,101.96 is: 9,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.97 : 17,472.33 = 6,101.96 : x
  2. Step 2: Convert to fraction form
    11,644.97/17,472.33 = 6,101.96/x
  3. Step 3: Cross multiply
    11,644.97x = 17,472.33 × 6,101.96
  4. Step 4: Simplify right side
    11,644.97x = 106,615,371.41
  5. Step 5: Solve for x
    x = 106,615,371.41/11,644.97
  6. Step 6: Final answer
    x = 9,155.49

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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.