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Finding the Fourth Proportional to 6,463.88, 9,693.42 and 2,302.78

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Solution

The fourth proportional to 6,463.88, 9,693.42 and 2,302.78 is: 3,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.88 : 9,693.42 = 2,302.78 : x
  2. Step 2: Convert to fraction form
    6,463.88/9,693.42 = 2,302.78/x
  3. Step 3: Cross multiply
    6,463.88x = 9,693.42 × 2,302.78
  4. Step 4: Simplify right side
    6,463.88x = 22,321,805.49
  5. Step 5: Solve for x
    x = 22,321,805.49/6,463.88
  6. Step 6: Final answer
    x = 3,453.32

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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.