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Finding the Fourth Proportional to 6,862.66, 10,286.92 and 2,700.98

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Solution

The fourth proportional to 6,862.66, 10,286.92 and 2,700.98 is: 4,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.66 : 10,286.92 = 2,700.98 : x
  2. Step 2: Convert to fraction form
    6,862.66/10,286.92 = 2,700.98/x
  3. Step 3: Cross multiply
    6,862.66x = 10,286.92 × 2,700.98
  4. Step 4: Simplify right side
    6,862.66x = 27,784,765.18
  5. Step 5: Solve for x
    x = 27,784,765.18/6,862.66
  6. Step 6: Final answer
    x = 4,048.69

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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.