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Finding the Fourth Proportional to 6,493.92, 9,744.63 and 2,745.42

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Solution

The fourth proportional to 6,493.92, 9,744.63 and 2,745.42 is: 4,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.92 : 9,744.63 = 2,745.42 : x
  2. Step 2: Convert to fraction form
    6,493.92/9,744.63 = 2,745.42/x
  3. Step 3: Cross multiply
    6,493.92x = 9,744.63 × 2,745.42
  4. Step 4: Simplify right side
    6,493.92x = 26,753,102.09
  5. Step 5: Solve for x
    x = 26,753,102.09/6,493.92
  6. Step 6: Final answer
    x = 4,119.72

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1.5x scale

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.