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Finding the Fourth Proportional to 6,565.97, 9,850.78 and 3,646.33

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Solution

The fourth proportional to 6,565.97, 9,850.78 and 3,646.33 is: 5,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.97 : 9,850.78 = 3,646.33 : x
  2. Step 2: Convert to fraction form
    6,565.97/9,850.78 = 3,646.33/x
  3. Step 3: Cross multiply
    6,565.97x = 9,850.78 × 3,646.33
  4. Step 4: Simplify right side
    6,565.97x = 35,919,174.57
  5. Step 5: Solve for x
    x = 35,919,174.57/6,565.97
  6. Step 6: Final answer
    x = 5,470.50

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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.