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Finding the Fourth Proportional to 6,163.02, 9,243.54 and 2,266.50

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Solution

The fourth proportional to 6,163.02, 9,243.54 and 2,266.50 is: 3,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.02 : 9,243.54 = 2,266.50 : x
  2. Step 2: Convert to fraction form
    6,163.02/9,243.54 = 2,266.50/x
  3. Step 3: Cross multiply
    6,163.02x = 9,243.54 × 2,266.50
  4. Step 4: Simplify right side
    6,163.02x = 20,950,483.41
  5. Step 5: Solve for x
    x = 20,950,483.41/6,163.02
  6. Step 6: Final answer
    x = 3,399.39

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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.