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Finding the Fourth Proportional to 6,850.24, 9,446.83 and 4,722.37

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Solution

The fourth proportional to 6,850.24, 9,446.83 and 4,722.37 is: 6,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.24 : 9,446.83 = 4,722.37 : x
  2. Step 2: Convert to fraction form
    6,850.24/9,446.83 = 4,722.37/x
  3. Step 3: Cross multiply
    6,850.24x = 9,446.83 × 4,722.37
  4. Step 4: Simplify right side
    6,850.24x = 44,611,391.16
  5. Step 5: Solve for x
    x = 44,611,391.16/6,850.24
  6. Step 6: Final answer
    x = 6,512.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.