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Finding the Fourth Proportional to 6,569.38, 9,065.77 and 3,585.28

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Solution

The fourth proportional to 6,569.38, 9,065.77 and 3,585.28 is: 4,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.38 : 9,065.77 = 3,585.28 : x
  2. Step 2: Convert to fraction form
    6,569.38/9,065.77 = 3,585.28/x
  3. Step 3: Cross multiply
    6,569.38x = 9,065.77 × 3,585.28
  4. Step 4: Simplify right side
    6,569.38x = 32,503,339.68
  5. Step 5: Solve for x
    x = 32,503,339.68/6,569.38
  6. Step 6: Final answer
    x = 4,947.70

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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.