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Finding the Fourth Proportional to 11,645.86, 17,471.07 and 3,749.43

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Solution

The fourth proportional to 11,645.86, 17,471.07 and 3,749.43 is: 5,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.86 : 17,471.07 = 3,749.43 : x
  2. Step 2: Convert to fraction form
    11,645.86/17,471.07 = 3,749.43/x
  3. Step 3: Cross multiply
    11,645.86x = 17,471.07 × 3,749.43
  4. Step 4: Simplify right side
    11,645.86x = 65,506,553.99
  5. Step 5: Solve for x
    x = 65,506,553.99/11,645.86
  6. Step 6: Final answer
    x = 5,624.88

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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.