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Finding the Fourth Proportional to 11,098, 16,647 and 2,890

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Solution

The fourth proportional to 11,098, 16,647 and 2,890 is: 4,335

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 16,647 = 2,890 : x
  2. Step 2: Convert to fraction form
    11,098/16,647 = 2,890/x
  3. Step 3: Cross multiply
    11,098x = 16,647 × 2,890
  4. Step 4: Simplify right side
    11,098x = 48,109,830
  5. Step 5: Solve for x
    x = 48,109,830/11,098
  6. Step 6: Final answer
    x = 4,335

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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.