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Finding the Fourth Proportional to 6,565.62, 9,843.80 and 3,276.38

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Solution

The fourth proportional to 6,565.62, 9,843.80 and 3,276.38 is: 4,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.62 : 9,843.80 = 3,276.38 : x
  2. Step 2: Convert to fraction form
    6,565.62/9,843.80 = 3,276.38/x
  3. Step 3: Cross multiply
    6,565.62x = 9,843.80 × 3,276.38
  4. Step 4: Simplify right side
    6,565.62x = 32,252,037.67
  5. Step 5: Solve for x
    x = 32,252,037.67/6,565.62
  6. Step 6: Final answer
    x = 4,912.26

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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.