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Finding the Fourth Proportional to 12,194.01, 16,819.02 and 7,937.24

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Solution

The fourth proportional to 12,194.01, 16,819.02 and 7,937.24 is: 10,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.01 : 16,819.02 = 7,937.24 : x
  2. Step 2: Convert to fraction form
    12,194.01/16,819.02 = 7,937.24/x
  3. Step 3: Cross multiply
    12,194.01x = 16,819.02 × 7,937.24
  4. Step 4: Simplify right side
    12,194.01x = 133,496,514.21
  5. Step 5: Solve for x
    x = 133,496,514.21/12,194.01
  6. Step 6: Final answer
    x = 10,947.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.