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Finding the Fourth Proportional to 7,441, 11,161.50 and 1,969

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Solution

The fourth proportional to 7,441, 11,161.50 and 1,969 is: 2,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 11,161.50 = 1,969 : x
  2. Step 2: Convert to fraction form
    7,441/11,161.50 = 1,969/x
  3. Step 3: Cross multiply
    7,441x = 11,161.50 × 1,969
  4. Step 4: Simplify right side
    7,441x = 21,976,993.50
  5. Step 5: Solve for x
    x = 21,976,993.50/7,441
  6. Step 6: Final answer
    x = 2,953.50

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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.