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Finding the Fourth Proportional to 6,472.80, 9,706.32 and 1,854.72

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Solution

The fourth proportional to 6,472.80, 9,706.32 and 1,854.72 is: 2,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,706.32 = 1,854.72 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,706.32 = 1,854.72/x
  3. Step 3: Cross multiply
    6,472.80x = 9,706.32 × 1,854.72
  4. Step 4: Simplify right side
    6,472.80x = 18,002,505.83
  5. Step 5: Solve for x
    x = 18,002,505.83/6,472.80
  6. Step 6: Final answer
    x = 2,781.25

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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.