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Finding the Fourth Proportional to 7,241.40, 9,980.42 and 5,974.97

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Solution

The fourth proportional to 7,241.40, 9,980.42 and 5,974.97 is: 8,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.40 : 9,980.42 = 5,974.97 : x
  2. Step 2: Convert to fraction form
    7,241.40/9,980.42 = 5,974.97/x
  3. Step 3: Cross multiply
    7,241.40x = 9,980.42 × 5,974.97
  4. Step 4: Simplify right side
    7,241.40x = 59,632,630.31
  5. Step 5: Solve for x
    x = 59,632,630.31/7,241.40
  6. Step 6: Final answer
    x = 8,234.96

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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.