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Finding the Fourth Proportional to 7,771.50, 11,656.94 and 2,224.62

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Solution

The fourth proportional to 7,771.50, 11,656.94 and 2,224.62 is: 3,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.50 : 11,656.94 = 2,224.62 : x
  2. Step 2: Convert to fraction form
    7,771.50/11,656.94 = 2,224.62/x
  3. Step 3: Cross multiply
    7,771.50x = 11,656.94 × 2,224.62
  4. Step 4: Simplify right side
    7,771.50x = 25,932,250.74
  5. Step 5: Solve for x
    x = 25,932,250.74/7,771.50
  6. Step 6: Final answer
    x = 3,336.84

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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.