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Finding the Fourth Proportional to 12,176, 18,264 and 3,968

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Solution

The fourth proportional to 12,176, 18,264 and 3,968 is: 5,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176 : 18,264 = 3,968 : x
  2. Step 2: Convert to fraction form
    12,176/18,264 = 3,968/x
  3. Step 3: Cross multiply
    12,176x = 18,264 × 3,968
  4. Step 4: Simplify right side
    12,176x = 72,471,552
  5. Step 5: Solve for x
    x = 72,471,552/12,176
  6. Step 6: Final answer
    x = 5,952

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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.