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Finding the Fourth Proportional to 6,358.50, 9,540.18 and 2,463.21

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Solution

The fourth proportional to 6,358.50, 9,540.18 and 2,463.21 is: 3,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.50 : 9,540.18 = 2,463.21 : x
  2. Step 2: Convert to fraction form
    6,358.50/9,540.18 = 2,463.21/x
  3. Step 3: Cross multiply
    6,358.50x = 9,540.18 × 2,463.21
  4. Step 4: Simplify right side
    6,358.50x = 23,499,466.78
  5. Step 5: Solve for x
    x = 23,499,466.78/6,358.50
  6. Step 6: Final answer
    x = 3,695.76

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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.