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Finding the Fourth Proportional to 6,882.62, 10,251.08 and 6,849.06

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Solution

The fourth proportional to 6,882.62, 10,251.08 and 6,849.06 is: 10,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.62 : 10,251.08 = 6,849.06 : x
  2. Step 2: Convert to fraction form
    6,882.62/10,251.08 = 6,849.06/x
  3. Step 3: Cross multiply
    6,882.62x = 10,251.08 × 6,849.06
  4. Step 4: Simplify right side
    6,882.62x = 70,210,234.24
  5. Step 5: Solve for x
    x = 70,210,234.24/6,882.62
  6. Step 6: Final answer
    x = 10,201.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.