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Finding the Fourth Proportional to 11,773.62, 17,745.09 and 10,149.77

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Solution

The fourth proportional to 11,773.62, 17,745.09 and 10,149.77 is: 15,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.62 : 17,745.09 = 10,149.77 : x
  2. Step 2: Convert to fraction form
    11,773.62/17,745.09 = 10,149.77/x
  3. Step 3: Cross multiply
    11,773.62x = 17,745.09 × 10,149.77
  4. Step 4: Simplify right side
    11,773.62x = 180,108,645.52
  5. Step 5: Solve for x
    x = 180,108,645.52/11,773.62
  6. Step 6: Final answer
    x = 15,297.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.