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Finding the Fourth Proportional to 11,847, 17,770.50 and 3,639

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Solution

The fourth proportional to 11,847, 17,770.50 and 3,639 is: 5,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847 : 17,770.50 = 3,639 : x
  2. Step 2: Convert to fraction form
    11,847/17,770.50 = 3,639/x
  3. Step 3: Cross multiply
    11,847x = 17,770.50 × 3,639
  4. Step 4: Simplify right side
    11,847x = 64,666,849.50
  5. Step 5: Solve for x
    x = 64,666,849.50/11,847
  6. Step 6: Final answer
    x = 5,458.50

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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.