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Finding the Fourth Proportional to 27,842.74, 41,765.02 and 8,119.64

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Solution

The fourth proportional to 27,842.74, 41,765.02 and 8,119.64 is: 12,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.74 : 41,765.02 = 8,119.64 : x
  2. Step 2: Convert to fraction form
    27,842.74/41,765.02 = 8,119.64/x
  3. Step 3: Cross multiply
    27,842.74x = 41,765.02 × 8,119.64
  4. Step 4: Simplify right side
    27,842.74x = 339,117,011.11
  5. Step 5: Solve for x
    x = 339,117,011.11/27,842.74
  6. Step 6: Final answer
    x = 12,179.73

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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.