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Finding the Fourth Proportional to 6,697.32, 10,052.21 and 3,412.88

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Solution

The fourth proportional to 6,697.32, 10,052.21 and 3,412.88 is: 5,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.32 : 10,052.21 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    6,697.32/10,052.21 = 3,412.88/x
  3. Step 3: Cross multiply
    6,697.32x = 10,052.21 × 3,412.88
  4. Step 4: Simplify right side
    6,697.32x = 34,306,919.14
  5. Step 5: Solve for x
    x = 34,306,919.14/6,697.32
  6. Step 6: Final answer
    x = 5,122.48

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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.