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Finding the Fourth Proportional to 5,764.67, 7,947.22 and 4,872.11

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Solution

The fourth proportional to 5,764.67, 7,947.22 and 4,872.11 is: 6,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.67 : 7,947.22 = 4,872.11 : x
  2. Step 2: Convert to fraction form
    5,764.67/7,947.22 = 4,872.11/x
  3. Step 3: Cross multiply
    5,764.67x = 7,947.22 × 4,872.11
  4. Step 4: Simplify right side
    5,764.67x = 38,719,730.03
  5. Step 5: Solve for x
    x = 38,719,730.03/5,764.67
  6. Step 6: Final answer
    x = 6,716.73

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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.