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Finding the Fourth Proportional to 27,424.76, 41,137 and 6,648.26

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Solution

The fourth proportional to 27,424.76, 41,137 and 6,648.26 is: 9,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.76 : 41,137 = 6,648.26 : x
  2. Step 2: Convert to fraction form
    27,424.76/41,137 = 6,648.26/x
  3. Step 3: Cross multiply
    27,424.76x = 41,137 × 6,648.26
  4. Step 4: Simplify right side
    27,424.76x = 273,489,471.62
  5. Step 5: Solve for x
    x = 273,489,471.62/27,424.76
  6. Step 6: Final answer
    x = 9,972.36

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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.