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Finding the Fourth Proportional to 6,310.08, 9,463.50 and 3,344.49

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Solution

The fourth proportional to 6,310.08, 9,463.50 and 3,344.49 is: 5,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.08 : 9,463.50 = 3,344.49 : x
  2. Step 2: Convert to fraction form
    6,310.08/9,463.50 = 3,344.49/x
  3. Step 3: Cross multiply
    6,310.08x = 9,463.50 × 3,344.49
  4. Step 4: Simplify right side
    6,310.08x = 31,650,581.12
  5. Step 5: Solve for x
    x = 31,650,581.12/6,310.08
  6. Step 6: Final answer
    x = 5,015.88

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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.