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Finding the Fourth Proportional to 23,314.70, 34,972.08 and 7,728.68

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Solution

The fourth proportional to 23,314.70, 34,972.08 and 7,728.68 is: 11,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.70 : 34,972.08 = 7,728.68 : x
  2. Step 2: Convert to fraction form
    23,314.70/34,972.08 = 7,728.68/x
  3. Step 3: Cross multiply
    23,314.70x = 34,972.08 × 7,728.68
  4. Step 4: Simplify right side
    23,314.70x = 270,288,015.25
  5. Step 5: Solve for x
    x = 270,288,015.25/23,314.70
  6. Step 6: Final answer
    x = 11,593.03

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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.