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Finding the Fourth Proportional to 6,502.48, 9,757.97 and 2,607.19

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Solution

The fourth proportional to 6,502.48, 9,757.97 and 2,607.19 is: 3,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.48 : 9,757.97 = 2,607.19 : x
  2. Step 2: Convert to fraction form
    6,502.48/9,757.97 = 2,607.19/x
  3. Step 3: Cross multiply
    6,502.48x = 9,757.97 × 2,607.19
  4. Step 4: Simplify right side
    6,502.48x = 25,440,854.15
  5. Step 5: Solve for x
    x = 25,440,854.15/6,502.48
  6. Step 6: Final answer
    x = 3,912.49

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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.