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Finding the Fourth Proportional to 4,163.12, 6,200.49 and 4,143

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Solution

The fourth proportional to 4,163.12, 6,200.49 and 4,143 is: 6,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.12 : 6,200.49 = 4,143 : x
  2. Step 2: Convert to fraction form
    4,163.12/6,200.49 = 4,143/x
  3. Step 3: Cross multiply
    4,163.12x = 6,200.49 × 4,143
  4. Step 4: Simplify right side
    4,163.12x = 25,688,630.07
  5. Step 5: Solve for x
    x = 25,688,630.07/4,163.12
  6. Step 6: Final answer
    x = 6,170.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.