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Finding the Fourth Proportional to 11,713.98, 17,568.81 and 6,149.82

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Solution

The fourth proportional to 11,713.98, 17,568.81 and 6,149.82 is: 9,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.98 : 17,568.81 = 6,149.82 : x
  2. Step 2: Convert to fraction form
    11,713.98/17,568.81 = 6,149.82/x
  3. Step 3: Cross multiply
    11,713.98x = 17,568.81 × 6,149.82
  4. Step 4: Simplify right side
    11,713.98x = 108,045,019.11
  5. Step 5: Solve for x
    x = 108,045,019.11/11,713.98
  6. Step 6: Final answer
    x = 9,223.60

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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.