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Finding the Fourth Proportional to 7,198.22, 9,934.10 and 4,012.48

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Solution

The fourth proportional to 7,198.22, 9,934.10 and 4,012.48 is: 5,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.22 : 9,934.10 = 4,012.48 : x
  2. Step 2: Convert to fraction form
    7,198.22/9,934.10 = 4,012.48/x
  3. Step 3: Cross multiply
    7,198.22x = 9,934.10 × 4,012.48
  4. Step 4: Simplify right side
    7,198.22x = 39,860,377.57
  5. Step 5: Solve for x
    x = 39,860,377.57/7,198.22
  6. Step 6: Final answer
    x = 5,537.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.