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Finding the Fourth Proportional to 7,446, 11,169 and 1,974

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Solution

The fourth proportional to 7,446, 11,169 and 1,974 is: 2,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 11,169 = 1,974 : x
  2. Step 2: Convert to fraction form
    7,446/11,169 = 1,974/x
  3. Step 3: Cross multiply
    7,446x = 11,169 × 1,974
  4. Step 4: Simplify right side
    7,446x = 22,047,606
  5. Step 5: Solve for x
    x = 22,047,606/7,446
  6. Step 6: Final answer
    x = 2,961

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.