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Finding the Fourth Proportional to 6,246.49, 9,371.87 and 2,916.28

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Solution

The fourth proportional to 6,246.49, 9,371.87 and 2,916.28 is: 4,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.49 : 9,371.87 = 2,916.28 : x
  2. Step 2: Convert to fraction form
    6,246.49/9,371.87 = 2,916.28/x
  3. Step 3: Cross multiply
    6,246.49x = 9,371.87 × 2,916.28
  4. Step 4: Simplify right side
    6,246.49x = 27,330,997.04
  5. Step 5: Solve for x
    x = 27,330,997.04/6,246.49
  6. Step 6: Final answer
    x = 4,375.42

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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.