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Finding the Fourth Proportional to 6,863.10, 9,471.09 and 3,719.27

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Solution

The fourth proportional to 6,863.10, 9,471.09 and 3,719.27 is: 5,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.10 : 9,471.09 = 3,719.27 : x
  2. Step 2: Convert to fraction form
    6,863.10/9,471.09 = 3,719.27/x
  3. Step 3: Cross multiply
    6,863.10x = 9,471.09 × 3,719.27
  4. Step 4: Simplify right side
    6,863.10x = 35,225,540.90
  5. Step 5: Solve for x
    x = 35,225,540.90/6,863.10
  6. Step 6: Final answer
    x = 5,132.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.