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Finding the Fourth Proportional to 4,906.93, 6,771.73 and 2,811.46

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Solution

The fourth proportional to 4,906.93, 6,771.73 and 2,811.46 is: 3,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.93 : 6,771.73 = 2,811.46 : x
  2. Step 2: Convert to fraction form
    4,906.93/6,771.73 = 2,811.46/x
  3. Step 3: Cross multiply
    4,906.93x = 6,771.73 × 2,811.46
  4. Step 4: Simplify right side
    4,906.93x = 19,038,414.17
  5. Step 5: Solve for x
    x = 19,038,414.17/4,906.93
  6. Step 6: Final answer
    x = 3,879.91

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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.