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Finding the Fourth Proportional to 6,565.53, 9,060.49 and 3,581.38

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Solution

The fourth proportional to 6,565.53, 9,060.49 and 3,581.38 is: 4,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.53 : 9,060.49 = 3,581.38 : x
  2. Step 2: Convert to fraction form
    6,565.53/9,060.49 = 3,581.38/x
  3. Step 3: Cross multiply
    6,565.53x = 9,060.49 × 3,581.38
  4. Step 4: Simplify right side
    6,565.53x = 32,449,014.75
  5. Step 5: Solve for x
    x = 32,449,014.75/6,565.53
  6. Step 6: Final answer
    x = 4,942.33

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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.