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Finding the Fourth Proportional to 4,662.97, 6,984.39 and 2,194.09

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Solution

The fourth proportional to 4,662.97, 6,984.39 and 2,194.09 is: 3,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.97 : 6,984.39 = 2,194.09 : x
  2. Step 2: Convert to fraction form
    4,662.97/6,984.39 = 2,194.09/x
  3. Step 3: Cross multiply
    4,662.97x = 6,984.39 × 2,194.09
  4. Step 4: Simplify right side
    4,662.97x = 15,324,380.26
  5. Step 5: Solve for x
    x = 15,324,380.26/4,662.97
  6. Step 6: Final answer
    x = 3,286.40

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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.