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Finding the Fourth Proportional to 11,842, 17,757.82 and 6,294.01

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Solution

The fourth proportional to 11,842, 17,757.82 and 6,294.01 is: 9,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 17,757.82 = 6,294.01 : x
  2. Step 2: Convert to fraction form
    11,842/17,757.82 = 6,294.01/x
  3. Step 3: Cross multiply
    11,842x = 17,757.82 × 6,294.01
  4. Step 4: Simplify right side
    11,842x = 111,767,896.66
  5. Step 5: Solve for x
    x = 111,767,896.66/11,842
  6. Step 6: Final answer
    x = 9,438.26

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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.