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Finding the Fourth Proportional to 6,280.57, 9,414.27 and 2,119.14

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Solution

The fourth proportional to 6,280.57, 9,414.27 and 2,119.14 is: 3,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.57 : 9,414.27 = 2,119.14 : x
  2. Step 2: Convert to fraction form
    6,280.57/9,414.27 = 2,119.14/x
  3. Step 3: Cross multiply
    6,280.57x = 9,414.27 × 2,119.14
  4. Step 4: Simplify right side
    6,280.57x = 19,950,156.13
  5. Step 5: Solve for x
    x = 19,950,156.13/6,280.57
  6. Step 6: Final answer
    x = 3,176.49

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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.