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Finding the Fourth Proportional to 23,202.38, 34,801.79 and 7,406.78

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Solution

The fourth proportional to 23,202.38, 34,801.79 and 7,406.78 is: 11,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.38 : 34,801.79 = 7,406.78 : x
  2. Step 2: Convert to fraction form
    23,202.38/34,801.79 = 7,406.78/x
  3. Step 3: Cross multiply
    23,202.38x = 34,801.79 × 7,406.78
  4. Step 4: Simplify right side
    23,202.38x = 257,768,991.09
  5. Step 5: Solve for x
    x = 257,768,991.09/23,202.38
  6. Step 6: Final answer
    x = 11,109.59

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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.