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Finding the Fourth Proportional to 8,124, 12,186 and 1,968

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Solution

The fourth proportional to 8,124, 12,186 and 1,968 is: 2,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,186 = 1,968 : x
  2. Step 2: Convert to fraction form
    8,124/12,186 = 1,968/x
  3. Step 3: Cross multiply
    8,124x = 12,186 × 1,968
  4. Step 4: Simplify right side
    8,124x = 23,982,048
  5. Step 5: Solve for x
    x = 23,982,048/8,124
  6. Step 6: Final answer
    x = 2,952

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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.