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Finding the Fourth Proportional to 27,568.72, 41,346.84 and 7,846.84

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Solution

The fourth proportional to 27,568.72, 41,346.84 and 7,846.84 is: 11,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.72 : 41,346.84 = 7,846.84 : x
  2. Step 2: Convert to fraction form
    27,568.72/41,346.84 = 7,846.84/x
  3. Step 3: Cross multiply
    27,568.72x = 41,346.84 × 7,846.84
  4. Step 4: Simplify right side
    27,568.72x = 324,442,037.99
  5. Step 5: Solve for x
    x = 324,442,037.99/27,568.72
  6. Step 6: Final answer
    x = 11,768.48

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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.