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Finding the Fourth Proportional to 11,674.50, 17,473.81 and 6,396.20

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Solution

The fourth proportional to 11,674.50, 17,473.81 and 6,396.20 is: 9,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.50 : 17,473.81 = 6,396.20 : x
  2. Step 2: Convert to fraction form
    11,674.50/17,473.81 = 6,396.20/x
  3. Step 3: Cross multiply
    11,674.50x = 17,473.81 × 6,396.20
  4. Step 4: Simplify right side
    11,674.50x = 111,765,951.54
  5. Step 5: Solve for x
    x = 111,765,951.54/11,674.50
  6. Step 6: Final answer
    x = 9,573.51

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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.