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Finding the Fourth Proportional to 27,974.02, 41,954.93 and 9,249.62

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Solution

The fourth proportional to 27,974.02, 41,954.93 and 9,249.62 is: 13,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.02 : 41,954.93 = 9,249.62 : x
  2. Step 2: Convert to fraction form
    27,974.02/41,954.93 = 9,249.62/x
  3. Step 3: Cross multiply
    27,974.02x = 41,954.93 × 9,249.62
  4. Step 4: Simplify right side
    27,974.02x = 388,067,159.63
  5. Step 5: Solve for x
    x = 388,067,159.63/27,974.02
  6. Step 6: Final answer
    x = 13,872.41

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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.