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Finding the Fourth Proportional to 6,565.67, 9,061.70 and 3,734.31

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Solution

The fourth proportional to 6,565.67, 9,061.70 and 3,734.31 is: 5,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.67 : 9,061.70 = 3,734.31 : x
  2. Step 2: Convert to fraction form
    6,565.67/9,061.70 = 3,734.31/x
  3. Step 3: Cross multiply
    6,565.67x = 9,061.70 × 3,734.31
  4. Step 4: Simplify right side
    6,565.67x = 33,839,178.26
  5. Step 5: Solve for x
    x = 33,839,178.26/6,565.67
  6. Step 6: Final answer
    x = 5,153.96

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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.