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Finding the Fourth Proportional to 6,565.96, 9,060.96 and 3,581.77

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Solution

The fourth proportional to 6,565.96, 9,060.96 and 3,581.77 is: 4,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.96 : 9,060.96 = 3,581.77 : x
  2. Step 2: Convert to fraction form
    6,565.96/9,060.96 = 3,581.77/x
  3. Step 3: Cross multiply
    6,565.96x = 9,060.96 × 3,581.77
  4. Step 4: Simplify right side
    6,565.96x = 32,454,282.47
  5. Step 5: Solve for x
    x = 32,454,282.47/6,565.96
  6. Step 6: Final answer
    x = 4,942.81

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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.