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Finding the Fourth Proportional to 8,519.44, 11,757.44 and 4,742.90

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Solution

The fourth proportional to 8,519.44, 11,757.44 and 4,742.90 is: 6,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.44 : 11,757.44 = 4,742.90 : x
  2. Step 2: Convert to fraction form
    8,519.44/11,757.44 = 4,742.90/x
  3. Step 3: Cross multiply
    8,519.44x = 11,757.44 × 4,742.90
  4. Step 4: Simplify right side
    8,519.44x = 55,764,362.18
  5. Step 5: Solve for x
    x = 55,764,362.18/8,519.44
  6. Step 6: Final answer
    x = 6,545.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.