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Finding the Fourth Proportional to 6,497.31, 9,759.15 and 5,734.56

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Solution

The fourth proportional to 6,497.31, 9,759.15 and 5,734.56 is: 8,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.31 : 9,759.15 = 5,734.56 : x
  2. Step 2: Convert to fraction form
    6,497.31/9,759.15 = 5,734.56/x
  3. Step 3: Cross multiply
    6,497.31x = 9,759.15 × 5,734.56
  4. Step 4: Simplify right side
    6,497.31x = 55,964,431.22
  5. Step 5: Solve for x
    x = 55,964,431.22/6,497.31
  6. Step 6: Final answer
    x = 8,613.48

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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.