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Finding the Fourth Proportional to 7,198.82, 9,930.07 and 5,309.80

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Solution

The fourth proportional to 7,198.82, 9,930.07 and 5,309.80 is: 7,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.82 : 9,930.07 = 5,309.80 : x
  2. Step 2: Convert to fraction form
    7,198.82/9,930.07 = 5,309.80/x
  3. Step 3: Cross multiply
    7,198.82x = 9,930.07 × 5,309.80
  4. Step 4: Simplify right side
    7,198.82x = 52,726,685.69
  5. Step 5: Solve for x
    x = 52,726,685.69/7,198.82
  6. Step 6: Final answer
    x = 7,324.35

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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.