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Finding the Fourth Proportional to 6,868, 10,302.08 and 2,251.20

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Solution

The fourth proportional to 6,868, 10,302.08 and 2,251.20 is: 3,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868 : 10,302.08 = 2,251.20 : x
  2. Step 2: Convert to fraction form
    6,868/10,302.08 = 2,251.20/x
  3. Step 3: Cross multiply
    6,868x = 10,302.08 × 2,251.20
  4. Step 4: Simplify right side
    6,868x = 23,192,042.50
  5. Step 5: Solve for x
    x = 23,192,042.50/6,868
  6. Step 6: Final answer
    x = 3,376.83

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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.