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Finding the Fourth Proportional to 18,045.75, 27,067.98 and 8,178.12

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Solution

The fourth proportional to 18,045.75, 27,067.98 and 8,178.12 is: 12,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,045.75 : 27,067.98 = 8,178.12 : x
  2. Step 2: Convert to fraction form
    18,045.75/27,067.98 = 8,178.12/x
  3. Step 3: Cross multiply
    18,045.75x = 27,067.98 × 8,178.12
  4. Step 4: Simplify right side
    18,045.75x = 221,365,188.60
  5. Step 5: Solve for x
    x = 221,365,188.60/18,045.75
  6. Step 6: Final answer
    x = 12,266.89

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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.