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Finding the Fourth Proportional to 6,127.56, 9,195 and 2,232.24

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Solution

The fourth proportional to 6,127.56, 9,195 and 2,232.24 is: 3,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.56 : 9,195 = 2,232.24 : x
  2. Step 2: Convert to fraction form
    6,127.56/9,195 = 2,232.24/x
  3. Step 3: Cross multiply
    6,127.56x = 9,195 × 2,232.24
  4. Step 4: Simplify right side
    6,127.56x = 20,525,446.80
  5. Step 5: Solve for x
    x = 20,525,446.80/6,127.56
  6. Step 6: Final answer
    x = 3,349.69

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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.