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Finding the Fourth Proportional to 27,767.84, 41,651.72 and 9,047.85

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Solution

The fourth proportional to 27,767.84, 41,651.72 and 9,047.85 is: 13,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.84 : 41,651.72 = 9,047.85 : x
  2. Step 2: Convert to fraction form
    27,767.84/41,651.72 = 9,047.85/x
  3. Step 3: Cross multiply
    27,767.84x = 41,651.72 × 9,047.85
  4. Step 4: Simplify right side
    27,767.84x = 376,858,514.80
  5. Step 5: Solve for x
    x = 376,858,514.80/27,767.84
  6. Step 6: Final answer
    x = 13,571.76

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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.