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Finding the Fourth Proportional to 22,640.48, 33,957 and 6,001.54

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Solution

The fourth proportional to 22,640.48, 33,957 and 6,001.54 is: 9,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.48 : 33,957 = 6,001.54 : x
  2. Step 2: Convert to fraction form
    22,640.48/33,957 = 6,001.54/x
  3. Step 3: Cross multiply
    22,640.48x = 33,957 × 6,001.54
  4. Step 4: Simplify right side
    22,640.48x = 203,794,293.78
  5. Step 5: Solve for x
    x = 203,794,293.78/22,640.48
  6. Step 6: Final answer
    x = 9,001.32

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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.