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Finding the Fourth Proportional to 15,198.44, 22,755.66 and 7,786.94

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Solution

The fourth proportional to 15,198.44, 22,755.66 and 7,786.94 is: 11,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.44 : 22,755.66 = 7,786.94 : x
  2. Step 2: Convert to fraction form
    15,198.44/22,755.66 = 7,786.94/x
  3. Step 3: Cross multiply
    15,198.44x = 22,755.66 × 7,786.94
  4. Step 4: Simplify right side
    15,198.44x = 177,196,959.08
  5. Step 5: Solve for x
    x = 177,196,959.08/15,198.44
  6. Step 6: Final answer
    x = 11,658.89

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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.