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Finding the Fourth Proportional to 8,016, 12,024 and 2,544

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Solution

The fourth proportional to 8,016, 12,024 and 2,544 is: 3,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016 : 12,024 = 2,544 : x
  2. Step 2: Convert to fraction form
    8,016/12,024 = 2,544/x
  3. Step 3: Cross multiply
    8,016x = 12,024 × 2,544
  4. Step 4: Simplify right side
    8,016x = 30,589,056
  5. Step 5: Solve for x
    x = 30,589,056/8,016
  6. Step 6: Final answer
    x = 3,816

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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.