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Finding the Fourth Proportional to 6,517.88, 9,751.98 and 5,731.64

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Solution

The fourth proportional to 6,517.88, 9,751.98 and 5,731.64 is: 8,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.88 : 9,751.98 = 5,731.64 : x
  2. Step 2: Convert to fraction form
    6,517.88/9,751.98 = 5,731.64/x
  3. Step 3: Cross multiply
    6,517.88x = 9,751.98 × 5,731.64
  4. Step 4: Simplify right side
    6,517.88x = 55,894,838.65
  5. Step 5: Solve for x
    x = 55,894,838.65/6,517.88
  6. Step 6: Final answer
    x = 8,575.62

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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.