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Finding the Fourth Proportional to 7,163.54, 10,743.92 and 2,233.23

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Solution

The fourth proportional to 7,163.54, 10,743.92 and 2,233.23 is: 3,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.54 : 10,743.92 = 2,233.23 : x
  2. Step 2: Convert to fraction form
    7,163.54/10,743.92 = 2,233.23/x
  3. Step 3: Cross multiply
    7,163.54x = 10,743.92 × 2,233.23
  4. Step 4: Simplify right side
    7,163.54x = 23,993,644.46
  5. Step 5: Solve for x
    x = 23,993,644.46/7,163.54
  6. Step 6: Final answer
    x = 3,349.41

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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.