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Finding the Fourth Proportional to 6,714.97, 10,072.52 and 2,034.99

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Solution

The fourth proportional to 6,714.97, 10,072.52 and 2,034.99 is: 3,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.97 : 10,072.52 = 2,034.99 : x
  2. Step 2: Convert to fraction form
    6,714.97/10,072.52 = 2,034.99/x
  3. Step 3: Cross multiply
    6,714.97x = 10,072.52 × 2,034.99
  4. Step 4: Simplify right side
    6,714.97x = 20,497,467.30
  5. Step 5: Solve for x
    x = 20,497,467.30/6,714.97
  6. Step 6: Final answer
    x = 3,052.51

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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.