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Finding the Fourth Proportional to 11,825.66, 17,741.12 and 5,163.22

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Solution

The fourth proportional to 11,825.66, 17,741.12 and 5,163.22 is: 7,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.66 : 17,741.12 = 5,163.22 : x
  2. Step 2: Convert to fraction form
    11,825.66/17,741.12 = 5,163.22/x
  3. Step 3: Cross multiply
    11,825.66x = 17,741.12 × 5,163.22
  4. Step 4: Simplify right side
    11,825.66x = 91,601,305.61
  5. Step 5: Solve for x
    x = 91,601,305.61/11,825.66
  6. Step 6: Final answer
    x = 7,745.98

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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.