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Finding the Fourth Proportional to 27,822.88, 41,735.76 and 8,102.97

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Solution

The fourth proportional to 27,822.88, 41,735.76 and 8,102.97 is: 12,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.88 : 41,735.76 = 8,102.97 : x
  2. Step 2: Convert to fraction form
    27,822.88/41,735.76 = 8,102.97/x
  3. Step 3: Cross multiply
    27,822.88x = 41,735.76 × 8,102.97
  4. Step 4: Simplify right side
    27,822.88x = 338,183,580.82
  5. Step 5: Solve for x
    x = 338,183,580.82/27,822.88
  6. Step 6: Final answer
    x = 12,154.87

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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.