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Finding the Fourth Proportional to 4,906.76, 6,771.19 and 2,782.49

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Solution

The fourth proportional to 4,906.76, 6,771.19 and 2,782.49 is: 3,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.76 : 6,771.19 = 2,782.49 : x
  2. Step 2: Convert to fraction form
    4,906.76/6,771.19 = 2,782.49/x
  3. Step 3: Cross multiply
    4,906.76x = 6,771.19 × 2,782.49
  4. Step 4: Simplify right side
    4,906.76x = 18,840,720.69
  5. Step 5: Solve for x
    x = 18,840,720.69/4,906.76
  6. Step 6: Final answer
    x = 3,839.75

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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.