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Finding the Fourth Proportional to 6,879, 10,318.38 and 2,198.97

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Solution

The fourth proportional to 6,879, 10,318.38 and 2,198.97 is: 3,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879 : 10,318.38 = 2,198.97 : x
  2. Step 2: Convert to fraction form
    6,879/10,318.38 = 2,198.97/x
  3. Step 3: Cross multiply
    6,879x = 10,318.38 × 2,198.97
  4. Step 4: Simplify right side
    6,879x = 22,689,808.07
  5. Step 5: Solve for x
    x = 22,689,808.07/6,879
  6. Step 6: Final answer
    x = 3,298.42

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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.