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Finding the Fourth Proportional to 6,502.52, 9,755.04 and 2,343.08

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Solution

The fourth proportional to 6,502.52, 9,755.04 and 2,343.08 is: 3,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.52 : 9,755.04 = 2,343.08 : x
  2. Step 2: Convert to fraction form
    6,502.52/9,755.04 = 2,343.08/x
  3. Step 3: Cross multiply
    6,502.52x = 9,755.04 × 2,343.08
  4. Step 4: Simplify right side
    6,502.52x = 22,856,839.12
  5. Step 5: Solve for x
    x = 22,856,839.12/6,502.52
  6. Step 6: Final answer
    x = 3,515.07

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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.