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Finding the Fourth Proportional to 27,388.84, 37,797.14 and 16,067

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Solution

The fourth proportional to 27,388.84, 37,797.14 and 16,067 is: 22,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388.84 : 37,797.14 = 16,067 : x
  2. Step 2: Convert to fraction form
    27,388.84/37,797.14 = 16,067/x
  3. Step 3: Cross multiply
    27,388.84x = 37,797.14 × 16,067
  4. Step 4: Simplify right side
    27,388.84x = 607,286,648.38
  5. Step 5: Solve for x
    x = 607,286,648.38/27,388.84
  6. Step 6: Final answer
    x = 22,172.78

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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.