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Finding the Fourth Proportional to 6,377.43, 9,566.33 and 1,760.43

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Solution

The fourth proportional to 6,377.43, 9,566.33 and 1,760.43 is: 2,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.43 : 9,566.33 = 1,760.43 : x
  2. Step 2: Convert to fraction form
    6,377.43/9,566.33 = 1,760.43/x
  3. Step 3: Cross multiply
    6,377.43x = 9,566.33 × 1,760.43
  4. Step 4: Simplify right side
    6,377.43x = 16,840,845.52
  5. Step 5: Solve for x
    x = 16,840,845.52/6,377.43
  6. Step 6: Final answer
    x = 2,640.69

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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.