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Finding the Fourth Proportional to 11,970, 17,958.42 and 4,074.25

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Solution

The fourth proportional to 11,970, 17,958.42 and 4,074.25 is: 6,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 17,958.42 = 4,074.25 : x
  2. Step 2: Convert to fraction form
    11,970/17,958.42 = 4,074.25/x
  3. Step 3: Cross multiply
    11,970x = 17,958.42 × 4,074.25
  4. Step 4: Simplify right side
    11,970x = 73,167,092.69
  5. Step 5: Solve for x
    x = 73,167,092.69/11,970
  6. Step 6: Final answer
    x = 6,112.54

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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.