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Finding the Fourth Proportional to 6,714.54, 10,072.01 and 3,204.92

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Solution

The fourth proportional to 6,714.54, 10,072.01 and 3,204.92 is: 4,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.54 : 10,072.01 = 3,204.92 : x
  2. Step 2: Convert to fraction form
    6,714.54/10,072.01 = 3,204.92/x
  3. Step 3: Cross multiply
    6,714.54x = 10,072.01 × 3,204.92
  4. Step 4: Simplify right side
    6,714.54x = 32,279,962.83
  5. Step 5: Solve for x
    x = 32,279,962.83/6,714.54
  6. Step 6: Final answer
    x = 4,807.47

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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.