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Finding the Fourth Proportional to 11,176, 16,764 and 2,968

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Solution

The fourth proportional to 11,176, 16,764 and 2,968 is: 4,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176 : 16,764 = 2,968 : x
  2. Step 2: Convert to fraction form
    11,176/16,764 = 2,968/x
  3. Step 3: Cross multiply
    11,176x = 16,764 × 2,968
  4. Step 4: Simplify right side
    11,176x = 49,755,552
  5. Step 5: Solve for x
    x = 49,755,552/11,176
  6. Step 6: Final answer
    x = 4,452

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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.