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Finding the Fourth Proportional to 6,963.54, 10,444.91 and 2,033.07

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Solution

The fourth proportional to 6,963.54, 10,444.91 and 2,033.07 is: 3,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.54 : 10,444.91 = 2,033.07 : x
  2. Step 2: Convert to fraction form
    6,963.54/10,444.91 = 2,033.07/x
  3. Step 3: Cross multiply
    6,963.54x = 10,444.91 × 2,033.07
  4. Step 4: Simplify right side
    6,963.54x = 21,235,223.01
  5. Step 5: Solve for x
    x = 21,235,223.01/6,963.54
  6. Step 6: Final answer
    x = 3,049.49

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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.