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Finding the Fourth Proportional to 6,168.68, 9,247.44 and 2,270.36

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Solution

The fourth proportional to 6,168.68, 9,247.44 and 2,270.36 is: 3,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.68 : 9,247.44 = 2,270.36 : x
  2. Step 2: Convert to fraction form
    6,168.68/9,247.44 = 2,270.36/x
  3. Step 3: Cross multiply
    6,168.68x = 9,247.44 × 2,270.36
  4. Step 4: Simplify right side
    6,168.68x = 20,995,017.88
  5. Step 5: Solve for x
    x = 20,995,017.88/6,168.68
  6. Step 6: Final answer
    x = 3,403.49

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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.