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Finding the Fourth Proportional to 23,638.67, 35,462.21 and 7,844.65

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Solution

The fourth proportional to 23,638.67, 35,462.21 and 7,844.65 is: 11,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.67 : 35,462.21 = 7,844.65 : x
  2. Step 2: Convert to fraction form
    23,638.67/35,462.21 = 7,844.65/x
  3. Step 3: Cross multiply
    23,638.67x = 35,462.21 × 7,844.65
  4. Step 4: Simplify right side
    23,638.67x = 278,188,625.68
  5. Step 5: Solve for x
    x = 278,188,625.68/23,638.67
  6. Step 6: Final answer
    x = 11,768.37

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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.