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Finding the Fourth Proportional to 6,168.48, 9,243 and 2,270.76

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Solution

The fourth proportional to 6,168.48, 9,243 and 2,270.76 is: 3,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.48 : 9,243 = 2,270.76 : x
  2. Step 2: Convert to fraction form
    6,168.48/9,243 = 2,270.76/x
  3. Step 3: Cross multiply
    6,168.48x = 9,243 × 2,270.76
  4. Step 4: Simplify right side
    6,168.48x = 20,988,634.68
  5. Step 5: Solve for x
    x = 20,988,634.68/6,168.48
  6. Step 6: Final answer
    x = 3,402.56

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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.