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Finding the Fourth Proportional to 7,472.46, 11,194.11 and 5,494.44

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Solution

The fourth proportional to 7,472.46, 11,194.11 and 5,494.44 is: 8,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.46 : 11,194.11 = 5,494.44 : x
  2. Step 2: Convert to fraction form
    7,472.46/11,194.11 = 5,494.44/x
  3. Step 3: Cross multiply
    7,472.46x = 11,194.11 × 5,494.44
  4. Step 4: Simplify right side
    7,472.46x = 61,505,365.75
  5. Step 5: Solve for x
    x = 61,505,365.75/7,472.46
  6. Step 6: Final answer
    x = 8,230.94

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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.