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Finding the Fourth Proportional to 11,704.70, 17,513.91 and 7,027.55

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Solution

The fourth proportional to 11,704.70, 17,513.91 and 7,027.55 is: 10,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.70 : 17,513.91 = 7,027.55 : x
  2. Step 2: Convert to fraction form
    11,704.70/17,513.91 = 7,027.55/x
  3. Step 3: Cross multiply
    11,704.70x = 17,513.91 × 7,027.55
  4. Step 4: Simplify right side
    11,704.70x = 123,079,878.22
  5. Step 5: Solve for x
    x = 123,079,878.22/11,704.70
  6. Step 6: Final answer
    x = 10,515.42

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1.5x scale

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.