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Finding the Fourth Proportional to 4,546.82, 6,819.92 and 1,772.97

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Solution

The fourth proportional to 4,546.82, 6,819.92 and 1,772.97 is: 2,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.82 : 6,819.92 = 1,772.97 : x
  2. Step 2: Convert to fraction form
    4,546.82/6,819.92 = 1,772.97/x
  3. Step 3: Cross multiply
    4,546.82x = 6,819.92 × 1,772.97
  4. Step 4: Simplify right side
    4,546.82x = 12,091,504.70
  5. Step 5: Solve for x
    x = 12,091,504.70/4,546.82
  6. Step 6: Final answer
    x = 2,659.34

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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.