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Finding the Fourth Proportional to 6,758.43, 10,137.84 and 3,247.89

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Solution

The fourth proportional to 6,758.43, 10,137.84 and 3,247.89 is: 4,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.43 : 10,137.84 = 3,247.89 : x
  2. Step 2: Convert to fraction form
    6,758.43/10,137.84 = 3,247.89/x
  3. Step 3: Cross multiply
    6,758.43x = 10,137.84 × 3,247.89
  4. Step 4: Simplify right side
    6,758.43x = 32,926,589.16
  5. Step 5: Solve for x
    x = 32,926,589.16/6,758.43
  6. Step 6: Final answer
    x = 4,871.93

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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.