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Finding the Fourth Proportional to 6,644.31, 9,169.14 and 3,660.11

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Solution

The fourth proportional to 6,644.31, 9,169.14 and 3,660.11 is: 5,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.31 : 9,169.14 = 3,660.11 : x
  2. Step 2: Convert to fraction form
    6,644.31/9,169.14 = 3,660.11/x
  3. Step 3: Cross multiply
    6,644.31x = 9,169.14 × 3,660.11
  4. Step 4: Simplify right side
    6,644.31x = 33,560,015.16
  5. Step 5: Solve for x
    x = 33,560,015.16/6,644.31
  6. Step 6: Final answer
    x = 5,050.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.