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Finding the Fourth Proportional to 27,713.73, 41,576.73 and 7,990.75

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Solution

The fourth proportional to 27,713.73, 41,576.73 and 7,990.75 is: 11,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.73 : 41,576.73 = 7,990.75 : x
  2. Step 2: Convert to fraction form
    27,713.73/41,576.73 = 7,990.75/x
  3. Step 3: Cross multiply
    27,713.73x = 41,576.73 × 7,990.75
  4. Step 4: Simplify right side
    27,713.73x = 332,229,047.36
  5. Step 5: Solve for x
    x = 332,229,047.36/27,713.73
  6. Step 6: Final answer
    x = 11,987.89

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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.