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Finding the Fourth Proportional to 27,785.75, 41,676.03 and 7,797.11

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Solution

The fourth proportional to 27,785.75, 41,676.03 and 7,797.11 is: 11,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.75 : 41,676.03 = 7,797.11 : x
  2. Step 2: Convert to fraction form
    27,785.75/41,676.03 = 7,797.11/x
  3. Step 3: Cross multiply
    27,785.75x = 41,676.03 × 7,797.11
  4. Step 4: Simplify right side
    27,785.75x = 324,952,381.89
  5. Step 5: Solve for x
    x = 324,952,381.89/27,785.75
  6. Step 6: Final answer
    x = 11,694.93

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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.