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Finding the Fourth Proportional to 27,849.67, 41,776.98 and 7,859.34

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Solution

The fourth proportional to 27,849.67, 41,776.98 and 7,859.34 is: 11,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849.67 : 41,776.98 = 7,859.34 : x
  2. Step 2: Convert to fraction form
    27,849.67/41,776.98 = 7,859.34/x
  3. Step 3: Cross multiply
    27,849.67x = 41,776.98 × 7,859.34
  4. Step 4: Simplify right side
    27,849.67x = 328,339,555.14
  5. Step 5: Solve for x
    x = 328,339,555.14/27,849.67
  6. Step 6: Final answer
    x = 11,789.71

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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.