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Finding the Fourth Proportional to 7,442, 11,163 and 1,970

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Solution

The fourth proportional to 7,442, 11,163 and 1,970 is: 2,955

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 11,163 = 1,970 : x
  2. Step 2: Convert to fraction form
    7,442/11,163 = 1,970/x
  3. Step 3: Cross multiply
    7,442x = 11,163 × 1,970
  4. Step 4: Simplify right side
    7,442x = 21,991,110
  5. Step 5: Solve for x
    x = 21,991,110/7,442
  6. Step 6: Final answer
    x = 2,955

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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.