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Finding the Fourth Proportional to 7,151.72, 10,723.23 and 3,202.22

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Solution

The fourth proportional to 7,151.72, 10,723.23 and 3,202.22 is: 4,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.72 : 10,723.23 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    7,151.72/10,723.23 = 3,202.22/x
  3. Step 3: Cross multiply
    7,151.72x = 10,723.23 × 3,202.22
  4. Step 4: Simplify right side
    7,151.72x = 34,338,168.38
  5. Step 5: Solve for x
    x = 34,338,168.38/7,151.72
  6. Step 6: Final answer
    x = 4,801.39

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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.