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Finding the Fourth Proportional to 11,448.91, 17,151.09 and 8,441.47

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Solution

The fourth proportional to 11,448.91, 17,151.09 and 8,441.47 is: 12,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.91 : 17,151.09 = 8,441.47 : x
  2. Step 2: Convert to fraction form
    11,448.91/17,151.09 = 8,441.47/x
  3. Step 3: Cross multiply
    11,448.91x = 17,151.09 × 8,441.47
  4. Step 4: Simplify right side
    11,448.91x = 144,780,401.49
  5. Step 5: Solve for x
    x = 144,780,401.49/11,448.91
  6. Step 6: Final answer
    x = 12,645.78

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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.