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Finding the Fourth Proportional to 6,614.67, 9,914.43 and 2,714.25

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Solution

The fourth proportional to 6,614.67, 9,914.43 and 2,714.25 is: 4,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.67 : 9,914.43 = 2,714.25 : x
  2. Step 2: Convert to fraction form
    6,614.67/9,914.43 = 2,714.25/x
  3. Step 3: Cross multiply
    6,614.67x = 9,914.43 × 2,714.25
  4. Step 4: Simplify right side
    6,614.67x = 26,910,241.63
  5. Step 5: Solve for x
    x = 26,910,241.63/6,614.67
  6. Step 6: Final answer
    x = 4,068.27

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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.