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Finding the Fourth Proportional to 6,277.70, 9,410.55 and 2,327.90

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Solution

The fourth proportional to 6,277.70, 9,410.55 and 2,327.90 is: 3,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.70 : 9,410.55 = 2,327.90 : x
  2. Step 2: Convert to fraction form
    6,277.70/9,410.55 = 2,327.90/x
  3. Step 3: Cross multiply
    6,277.70x = 9,410.55 × 2,327.90
  4. Step 4: Simplify right side
    6,277.70x = 21,906,819.35
  5. Step 5: Solve for x
    x = 21,906,819.35/6,277.70
  6. Step 6: Final answer
    x = 3,489.63

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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.