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Finding the Fourth Proportional to 6,487.64, 9,727.96 and 2,044.46

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Solution

The fourth proportional to 6,487.64, 9,727.96 and 2,044.46 is: 3,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.64 : 9,727.96 = 2,044.46 : x
  2. Step 2: Convert to fraction form
    6,487.64/9,727.96 = 2,044.46/x
  3. Step 3: Cross multiply
    6,487.64x = 9,727.96 × 2,044.46
  4. Step 4: Simplify right side
    6,487.64x = 19,888,425.10
  5. Step 5: Solve for x
    x = 19,888,425.10/6,487.64
  6. Step 6: Final answer
    x = 3,065.59

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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.