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Finding the Fourth Proportional to 11,902.49, 17,851.18 and 7,514.09

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Solution

The fourth proportional to 11,902.49, 17,851.18 and 7,514.09 is: 11,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.49 : 17,851.18 = 7,514.09 : x
  2. Step 2: Convert to fraction form
    11,902.49/17,851.18 = 7,514.09/x
  3. Step 3: Cross multiply
    11,902.49x = 17,851.18 × 7,514.09
  4. Step 4: Simplify right side
    11,902.49x = 134,135,335.56
  5. Step 5: Solve for x
    x = 134,135,335.56/11,902.49
  6. Step 6: Final answer
    x = 11,269.52

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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.