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Finding the Fourth Proportional to 6,230.89, 9,344.73 and 1,847.32

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Solution

The fourth proportional to 6,230.89, 9,344.73 and 1,847.32 is: 2,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.89 : 9,344.73 = 1,847.32 : x
  2. Step 2: Convert to fraction form
    6,230.89/9,344.73 = 1,847.32/x
  3. Step 3: Cross multiply
    6,230.89x = 9,344.73 × 1,847.32
  4. Step 4: Simplify right side
    6,230.89x = 17,262,706.62
  5. Step 5: Solve for x
    x = 17,262,706.62/6,230.89
  6. Step 6: Final answer
    x = 2,770.50

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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.