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Finding the Fourth Proportional to 7,203.87, 9,942.13 and 4,179.66

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Solution

The fourth proportional to 7,203.87, 9,942.13 and 4,179.66 is: 5,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.87 : 9,942.13 = 4,179.66 : x
  2. Step 2: Convert to fraction form
    7,203.87/9,942.13 = 4,179.66/x
  3. Step 3: Cross multiply
    7,203.87x = 9,942.13 × 4,179.66
  4. Step 4: Simplify right side
    7,203.87x = 41,554,691.02
  5. Step 5: Solve for x
    x = 41,554,691.02/7,203.87
  6. Step 6: Final answer
    x = 5,768.38

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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.