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Finding the Fourth Proportional to 6,565.97, 9,842.81 and 2,865.17

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Solution

The fourth proportional to 6,565.97, 9,842.81 and 2,865.17 is: 4,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.97 : 9,842.81 = 2,865.17 : x
  2. Step 2: Convert to fraction form
    6,565.97/9,842.81 = 2,865.17/x
  3. Step 3: Cross multiply
    6,565.97x = 9,842.81 × 2,865.17
  4. Step 4: Simplify right side
    6,565.97x = 28,201,260.39
  5. Step 5: Solve for x
    x = 28,201,260.39/6,565.97
  6. Step 6: Final answer
    x = 4,295.07

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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.