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Finding the Fourth Proportional to 6,344.72, 9,516 and 2,449.16

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Solution

The fourth proportional to 6,344.72, 9,516 and 2,449.16 is: 3,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.72 : 9,516 = 2,449.16 : x
  2. Step 2: Convert to fraction form
    6,344.72/9,516 = 2,449.16/x
  3. Step 3: Cross multiply
    6,344.72x = 9,516 × 2,449.16
  4. Step 4: Simplify right side
    6,344.72x = 23,306,206.56
  5. Step 5: Solve for x
    x = 23,306,206.56/6,344.72
  6. Step 6: Final answer
    x = 3,673.32

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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.