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Finding the Fourth Proportional to 5,163.94, 7,736.19 and 2,568.70

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Solution

The fourth proportional to 5,163.94, 7,736.19 and 2,568.70 is: 3,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.94 : 7,736.19 = 2,568.70 : x
  2. Step 2: Convert to fraction form
    5,163.94/7,736.19 = 2,568.70/x
  3. Step 3: Cross multiply
    5,163.94x = 7,736.19 × 2,568.70
  4. Step 4: Simplify right side
    5,163.94x = 19,871,951.25
  5. Step 5: Solve for x
    x = 19,871,951.25/5,163.94
  6. Step 6: Final answer
    x = 3,848.21

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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.