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Finding the Fourth Proportional to 7,449.57, 11,174.64 and 3,749.79

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Solution

The fourth proportional to 7,449.57, 11,174.64 and 3,749.79 is: 5,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.57 : 11,174.64 = 3,749.79 : x
  2. Step 2: Convert to fraction form
    7,449.57/11,174.64 = 3,749.79/x
  3. Step 3: Cross multiply
    7,449.57x = 11,174.64 × 3,749.79
  4. Step 4: Simplify right side
    7,449.57x = 41,902,553.33
  5. Step 5: Solve for x
    x = 41,902,553.33/7,449.57
  6. Step 6: Final answer
    x = 5,624.83

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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.