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Finding the Fourth Proportional to 11,704.50, 17,559.18 and 3,698.73

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Solution

The fourth proportional to 11,704.50, 17,559.18 and 3,698.73 is: 5,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 17,559.18 = 3,698.73 : x
  2. Step 2: Convert to fraction form
    11,704.50/17,559.18 = 3,698.73/x
  3. Step 3: Cross multiply
    11,704.50x = 17,559.18 × 3,698.73
  4. Step 4: Simplify right side
    11,704.50x = 64,946,665.84
  5. Step 5: Solve for x
    x = 64,946,665.84/11,704.50
  6. Step 6: Final answer
    x = 5,548.86

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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.