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Finding the Fourth Proportional to 10,559.62, 14,565.92 and 6,974.61

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Solution

The fourth proportional to 10,559.62, 14,565.92 and 6,974.61 is: 9,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.62 : 14,565.92 = 6,974.61 : x
  2. Step 2: Convert to fraction form
    10,559.62/14,565.92 = 6,974.61/x
  3. Step 3: Cross multiply
    10,559.62x = 14,565.92 × 6,974.61
  4. Step 4: Simplify right side
    10,559.62x = 101,591,611.29
  5. Step 5: Solve for x
    x = 101,591,611.29/10,559.62
  6. Step 6: Final answer
    x = 9,620.76

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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.