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Finding the Fourth Proportional to 6,714.53, 10,066.26 and 2,963.64

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Solution

The fourth proportional to 6,714.53, 10,066.26 and 2,963.64 is: 4,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.53 : 10,066.26 = 2,963.64 : x
  2. Step 2: Convert to fraction form
    6,714.53/10,066.26 = 2,963.64/x
  3. Step 3: Cross multiply
    6,714.53x = 10,066.26 × 2,963.64
  4. Step 4: Simplify right side
    6,714.53x = 29,832,819.65
  5. Step 5: Solve for x
    x = 29,832,819.65/6,714.53
  6. Step 6: Final answer
    x = 4,443.03

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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.