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Finding the Fourth Proportional to 6,995.57, 10,489.73 and 2,834.44

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Solution

The fourth proportional to 6,995.57, 10,489.73 and 2,834.44 is: 4,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.57 : 10,489.73 = 2,834.44 : x
  2. Step 2: Convert to fraction form
    6,995.57/10,489.73 = 2,834.44/x
  3. Step 3: Cross multiply
    6,995.57x = 10,489.73 × 2,834.44
  4. Step 4: Simplify right side
    6,995.57x = 29,732,469.90
  5. Step 5: Solve for x
    x = 29,732,469.90/6,995.57
  6. Step 6: Final answer
    x = 4,250.19

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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.