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Finding the Fourth Proportional to 6,961.93, 9,616.67 and 5,190.46

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Solution

The fourth proportional to 6,961.93, 9,616.67 and 5,190.46 is: 7,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.93 : 9,616.67 = 5,190.46 : x
  2. Step 2: Convert to fraction form
    6,961.93/9,616.67 = 5,190.46/x
  3. Step 3: Cross multiply
    6,961.93x = 9,616.67 × 5,190.46
  4. Step 4: Simplify right side
    6,961.93x = 49,914,940.97
  5. Step 5: Solve for x
    x = 49,914,940.97/6,961.93
  6. Step 6: Final answer
    x = 7,169.70

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1.5x scale

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.