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Finding the Fourth Proportional to 18,225, 27,348.44 and 7,836.75

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Solution

The fourth proportional to 18,225, 27,348.44 and 7,836.75 is: 11,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 27,348.44 = 7,836.75 : x
  2. Step 2: Convert to fraction form
    18,225/27,348.44 = 7,836.75/x
  3. Step 3: Cross multiply
    18,225x = 27,348.44 × 7,836.75
  4. Step 4: Simplify right side
    18,225x = 214,322,847.99
  5. Step 5: Solve for x
    x = 214,322,847.99/18,225
  6. Step 6: Final answer
    x = 11,759.83

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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.