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Finding the Fourth Proportional to 6,149.17, 9,224.70 and 2,639.17

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Solution

The fourth proportional to 6,149.17, 9,224.70 and 2,639.17 is: 3,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.17 : 9,224.70 = 2,639.17 : x
  2. Step 2: Convert to fraction form
    6,149.17/9,224.70 = 2,639.17/x
  3. Step 3: Cross multiply
    6,149.17x = 9,224.70 × 2,639.17
  4. Step 4: Simplify right side
    6,149.17x = 24,345,551.50
  5. Step 5: Solve for x
    x = 24,345,551.50/6,149.17
  6. Step 6: Final answer
    x = 3,959.16

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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.