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Finding the Fourth Proportional to 6,850.08, 10,252.08 and 3,924

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Solution

The fourth proportional to 6,850.08, 10,252.08 and 3,924 is: 5,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.08 : 10,252.08 = 3,924 : x
  2. Step 2: Convert to fraction form
    6,850.08/10,252.08 = 3,924/x
  3. Step 3: Cross multiply
    6,850.08x = 10,252.08 × 3,924
  4. Step 4: Simplify right side
    6,850.08x = 40,229,161.92
  5. Step 5: Solve for x
    x = 40,229,161.92/6,850.08
  6. Step 6: Final answer
    x = 5,872.80

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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.