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Finding the Fourth Proportional to 7,466, 11,199 and 1,994

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Solution

The fourth proportional to 7,466, 11,199 and 1,994 is: 2,991

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466 : 11,199 = 1,994 : x
  2. Step 2: Convert to fraction form
    7,466/11,199 = 1,994/x
  3. Step 3: Cross multiply
    7,466x = 11,199 × 1,994
  4. Step 4: Simplify right side
    7,466x = 22,330,806
  5. Step 5: Solve for x
    x = 22,330,806/7,466
  6. Step 6: Final answer
    x = 2,991

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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.