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Finding the Fourth Proportional to 6,105.47, 9,159.11 and 2,819.49

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Solution

The fourth proportional to 6,105.47, 9,159.11 and 2,819.49 is: 4,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.47 : 9,159.11 = 2,819.49 : x
  2. Step 2: Convert to fraction form
    6,105.47/9,159.11 = 2,819.49/x
  3. Step 3: Cross multiply
    6,105.47x = 9,159.11 × 2,819.49
  4. Step 4: Simplify right side
    6,105.47x = 25,824,004.96
  5. Step 5: Solve for x
    x = 25,824,004.96/6,105.47
  6. Step 6: Final answer
    x = 4,229.65

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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.