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Finding the Fourth Proportional to 15,194.10, 22,791.14 and 7,794.42

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Solution

The fourth proportional to 15,194.10, 22,791.14 and 7,794.42 is: 11,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.10 : 22,791.14 = 7,794.42 : x
  2. Step 2: Convert to fraction form
    15,194.10/22,791.14 = 7,794.42/x
  3. Step 3: Cross multiply
    15,194.10x = 22,791.14 × 7,794.42
  4. Step 4: Simplify right side
    15,194.10x = 177,643,678.47
  5. Step 5: Solve for x
    x = 177,643,678.47/15,194.10
  6. Step 6: Final answer
    x = 11,691.62

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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.