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Finding the Fourth Proportional to 21,974.70, 32,958.67 and 7,183.70

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Solution

The fourth proportional to 21,974.70, 32,958.67 and 7,183.70 is: 10,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.70 : 32,958.67 = 7,183.70 : x
  2. Step 2: Convert to fraction form
    21,974.70/32,958.67 = 7,183.70/x
  3. Step 3: Cross multiply
    21,974.70x = 32,958.67 × 7,183.70
  4. Step 4: Simplify right side
    21,974.70x = 236,765,197.68
  5. Step 5: Solve for x
    x = 236,765,197.68/21,974.70
  6. Step 6: Final answer
    x = 10,774.45

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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.