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Finding the Fourth Proportional to 11,152, 16,728 and 2,944

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Solution

The fourth proportional to 11,152, 16,728 and 2,944 is: 4,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 16,728 = 2,944 : x
  2. Step 2: Convert to fraction form
    11,152/16,728 = 2,944/x
  3. Step 3: Cross multiply
    11,152x = 16,728 × 2,944
  4. Step 4: Simplify right side
    11,152x = 49,247,232
  5. Step 5: Solve for x
    x = 49,247,232/11,152
  6. Step 6: Final answer
    x = 4,416

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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.