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Finding the Fourth Proportional to 18,625.82, 27,932.79 and 6,142.94

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Solution

The fourth proportional to 18,625.82, 27,932.79 and 6,142.94 is: 9,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625.82 : 27,932.79 = 6,142.94 : x
  2. Step 2: Convert to fraction form
    18,625.82/27,932.79 = 6,142.94/x
  3. Step 3: Cross multiply
    18,625.82x = 27,932.79 × 6,142.94
  4. Step 4: Simplify right side
    18,625.82x = 171,589,453.00
  5. Step 5: Solve for x
    x = 171,589,453.00/18,625.82
  6. Step 6: Final answer
    x = 9,212.45

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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.