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Finding the Fourth Proportional to 4,974.13, 7,462.94 and 2,200.44

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Solution

The fourth proportional to 4,974.13, 7,462.94 and 2,200.44 is: 3,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.13 : 7,462.94 = 2,200.44 : x
  2. Step 2: Convert to fraction form
    4,974.13/7,462.94 = 2,200.44/x
  3. Step 3: Cross multiply
    4,974.13x = 7,462.94 × 2,200.44
  4. Step 4: Simplify right side
    4,974.13x = 16,421,751.69
  5. Step 5: Solve for x
    x = 16,421,751.69/4,974.13
  6. Step 6: Final answer
    x = 3,301.43

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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.