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Finding the Fourth Proportional to 27,674, 41,512.76 and 7,952.12

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Solution

The fourth proportional to 27,674, 41,512.76 and 7,952.12 is: 11,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674 : 41,512.76 = 7,952.12 : x
  2. Step 2: Convert to fraction form
    27,674/41,512.76 = 7,952.12/x
  3. Step 3: Cross multiply
    27,674x = 41,512.76 × 7,952.12
  4. Step 4: Simplify right side
    27,674x = 330,114,449.05
  5. Step 5: Solve for x
    x = 330,114,449.05/27,674
  6. Step 6: Final answer
    x = 11,928.69

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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.