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Finding the Fourth Proportional to 6,614.60, 9,921.92 and 2,232.09

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Solution

The fourth proportional to 6,614.60, 9,921.92 and 2,232.09 is: 3,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.60 : 9,921.92 = 2,232.09 : x
  2. Step 2: Convert to fraction form
    6,614.60/9,921.92 = 2,232.09/x
  3. Step 3: Cross multiply
    6,614.60x = 9,921.92 × 2,232.09
  4. Step 4: Simplify right side
    6,614.60x = 22,146,607.25
  5. Step 5: Solve for x
    x = 22,146,607.25/6,614.60
  6. Step 6: Final answer
    x = 3,348.14

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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.