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Finding the Fourth Proportional to 6,963.50, 10,446.22 and 2,033.50

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Solution

The fourth proportional to 6,963.50, 10,446.22 and 2,033.50 is: 3,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.50 : 10,446.22 = 2,033.50 : x
  2. Step 2: Convert to fraction form
    6,963.50/10,446.22 = 2,033.50/x
  3. Step 3: Cross multiply
    6,963.50x = 10,446.22 × 2,033.50
  4. Step 4: Simplify right side
    6,963.50x = 21,242,336.14
  5. Step 5: Solve for x
    x = 21,242,336.14/6,963.50
  6. Step 6: Final answer
    x = 3,050.53

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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.