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Finding the Fourth Proportional to 6,616.32, 9,924.16 and 2,512

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Solution

The fourth proportional to 6,616.32, 9,924.16 and 2,512 is: 3,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.32 : 9,924.16 = 2,512 : x
  2. Step 2: Convert to fraction form
    6,616.32/9,924.16 = 2,512/x
  3. Step 3: Cross multiply
    6,616.32x = 9,924.16 × 2,512
  4. Step 4: Simplify right side
    6,616.32x = 24,929,489.92
  5. Step 5: Solve for x
    x = 24,929,489.92/6,616.32
  6. Step 6: Final answer
    x = 3,767.88

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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.