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Finding the Fourth Proportional to 9,251.76, 13,883.16 and 3,412.56

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Solution

The fourth proportional to 9,251.76, 13,883.16 and 3,412.56 is: 5,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.76 : 13,883.16 = 3,412.56 : x
  2. Step 2: Convert to fraction form
    9,251.76/13,883.16 = 3,412.56/x
  3. Step 3: Cross multiply
    9,251.76x = 13,883.16 × 3,412.56
  4. Step 4: Simplify right side
    9,251.76x = 47,377,116.49
  5. Step 5: Solve for x
    x = 47,377,116.49/9,251.76
  6. Step 6: Final answer
    x = 5,120.88

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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.