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Finding the Fourth Proportional to 17,942.30, 26,902.65 and 9,194.30

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Solution

The fourth proportional to 17,942.30, 26,902.65 and 9,194.30 is: 13,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.30 : 26,902.65 = 9,194.30 : x
  2. Step 2: Convert to fraction form
    17,942.30/26,902.65 = 9,194.30/x
  3. Step 3: Cross multiply
    17,942.30x = 26,902.65 × 9,194.30
  4. Step 4: Simplify right side
    17,942.30x = 247,351,034.90
  5. Step 5: Solve for x
    x = 247,351,034.90/17,942.30
  6. Step 6: Final answer
    x = 13,785.92

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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.