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Finding the Fourth Proportional to 6,569.47, 9,065.90 and 3,585.38

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Solution

The fourth proportional to 6,569.47, 9,065.90 and 3,585.38 is: 4,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.47 : 9,065.90 = 3,585.38 : x
  2. Step 2: Convert to fraction form
    6,569.47/9,065.90 = 3,585.38/x
  3. Step 3: Cross multiply
    6,569.47x = 9,065.90 × 3,585.38
  4. Step 4: Simplify right side
    6,569.47x = 32,504,660.18
  5. Step 5: Solve for x
    x = 32,504,660.18/6,569.47
  6. Step 6: Final answer
    x = 4,947.84

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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.