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Finding the Fourth Proportional to 4,906.49, 6,771.13 and 2,811.02

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Solution

The fourth proportional to 4,906.49, 6,771.13 and 2,811.02 is: 3,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.49 : 6,771.13 = 2,811.02 : x
  2. Step 2: Convert to fraction form
    4,906.49/6,771.13 = 2,811.02/x
  3. Step 3: Cross multiply
    4,906.49x = 6,771.13 × 2,811.02
  4. Step 4: Simplify right side
    4,906.49x = 19,033,740.97
  5. Step 5: Solve for x
    x = 19,033,740.97/4,906.49
  6. Step 6: Final answer
    x = 3,879.30

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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.