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Finding the Fourth Proportional to 6,502.57, 9,755.75 and 2,342.50

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Solution

The fourth proportional to 6,502.57, 9,755.75 and 2,342.50 is: 3,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.57 : 9,755.75 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    6,502.57/9,755.75 = 2,342.50/x
  3. Step 3: Cross multiply
    6,502.57x = 9,755.75 × 2,342.50
  4. Step 4: Simplify right side
    6,502.57x = 22,852,844.38
  5. Step 5: Solve for x
    x = 22,852,844.38/6,502.57
  6. Step 6: Final answer
    x = 3,514.43

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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.