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Finding the Fourth Proportional to 11,282, 16,923 and 3,074

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Solution

The fourth proportional to 11,282, 16,923 and 3,074 is: 4,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282 : 16,923 = 3,074 : x
  2. Step 2: Convert to fraction form
    11,282/16,923 = 3,074/x
  3. Step 3: Cross multiply
    11,282x = 16,923 × 3,074
  4. Step 4: Simplify right side
    11,282x = 52,021,302
  5. Step 5: Solve for x
    x = 52,021,302/11,282
  6. Step 6: Final answer
    x = 4,611

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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.