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Finding the Fourth Proportional to 4,153.14, 5,734.14 and 3,163.53

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Solution

The fourth proportional to 4,153.14, 5,734.14 and 3,163.53 is: 4,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.14 : 5,734.14 = 3,163.53 : x
  2. Step 2: Convert to fraction form
    4,153.14/5,734.14 = 3,163.53/x
  3. Step 3: Cross multiply
    4,153.14x = 5,734.14 × 3,163.53
  4. Step 4: Simplify right side
    4,153.14x = 18,140,123.91
  5. Step 5: Solve for x
    x = 18,140,123.91/4,153.14
  6. Step 6: Final answer
    x = 4,367.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.