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Finding the Fourth Proportional to 6,771.89, 10,157.78 and 1,841.50

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Solution

The fourth proportional to 6,771.89, 10,157.78 and 1,841.50 is: 2,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.89 : 10,157.78 = 1,841.50 : x
  2. Step 2: Convert to fraction form
    6,771.89/10,157.78 = 1,841.50/x
  3. Step 3: Cross multiply
    6,771.89x = 10,157.78 × 1,841.50
  4. Step 4: Simplify right side
    6,771.89x = 18,705,517.27
  5. Step 5: Solve for x
    x = 18,705,517.27/6,771.89
  6. Step 6: Final answer
    x = 2,762.23

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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.