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Finding the Fourth Proportional to 6,967.71, 10,453.46 and 3,679.92

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Solution

The fourth proportional to 6,967.71, 10,453.46 and 3,679.92 is: 5,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.71 : 10,453.46 = 3,679.92 : x
  2. Step 2: Convert to fraction form
    6,967.71/10,453.46 = 3,679.92/x
  3. Step 3: Cross multiply
    6,967.71x = 10,453.46 × 3,679.92
  4. Step 4: Simplify right side
    6,967.71x = 38,467,878.12
  5. Step 5: Solve for x
    x = 38,467,878.12/6,967.71
  6. Step 6: Final answer
    x = 5,520.88

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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.