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Finding the Fourth Proportional to 23,922.80, 35,891.89 and 7,286.06

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Solution

The fourth proportional to 23,922.80, 35,891.89 and 7,286.06 is: 10,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.80 : 35,891.89 = 7,286.06 : x
  2. Step 2: Convert to fraction form
    23,922.80/35,891.89 = 7,286.06/x
  3. Step 3: Cross multiply
    23,922.80x = 35,891.89 × 7,286.06
  4. Step 4: Simplify right side
    23,922.80x = 261,510,266.38
  5. Step 5: Solve for x
    x = 261,510,266.38/23,922.80
  6. Step 6: Final answer
    x = 10,931.42

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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.