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Finding the Fourth Proportional to 6,694.15, 9,238.01 and 3,710.02

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Solution

The fourth proportional to 6,694.15, 9,238.01 and 3,710.02 is: 5,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.15 : 9,238.01 = 3,710.02 : x
  2. Step 2: Convert to fraction form
    6,694.15/9,238.01 = 3,710.02/x
  3. Step 3: Cross multiply
    6,694.15x = 9,238.01 × 3,710.02
  4. Step 4: Simplify right side
    6,694.15x = 34,273,201.86
  5. Step 5: Solve for x
    x = 34,273,201.86/6,694.15
  6. Step 6: Final answer
    x = 5,119.87

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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.