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Finding the Fourth Proportional to 6,463.26, 9,695.43 and 2,305.53

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Solution

The fourth proportional to 6,463.26, 9,695.43 and 2,305.53 is: 3,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.26 : 9,695.43 = 2,305.53 : x
  2. Step 2: Convert to fraction form
    6,463.26/9,695.43 = 2,305.53/x
  3. Step 3: Cross multiply
    6,463.26x = 9,695.43 × 2,305.53
  4. Step 4: Simplify right side
    6,463.26x = 22,353,104.73
  5. Step 5: Solve for x
    x = 22,353,104.73/6,463.26
  6. Step 6: Final answer
    x = 3,458.49

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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.