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Finding the Fourth Proportional to 5,163.82, 7,745.73 and 1,701.07

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Solution

The fourth proportional to 5,163.82, 7,745.73 and 1,701.07 is: 2,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.82 : 7,745.73 = 1,701.07 : x
  2. Step 2: Convert to fraction form
    5,163.82/7,745.73 = 1,701.07/x
  3. Step 3: Cross multiply
    5,163.82x = 7,745.73 × 1,701.07
  4. Step 4: Simplify right side
    5,163.82x = 13,176,028.93
  5. Step 5: Solve for x
    x = 13,176,028.93/5,163.82
  6. Step 6: Final answer
    x = 2,551.61

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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.