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Finding the Fourth Proportional to 4,866.96, 6,716.91 and 2,771.22

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Solution

The fourth proportional to 4,866.96, 6,716.91 and 2,771.22 is: 3,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.96 : 6,716.91 = 2,771.22 : x
  2. Step 2: Convert to fraction form
    4,866.96/6,716.91 = 2,771.22/x
  3. Step 3: Cross multiply
    4,866.96x = 6,716.91 × 2,771.22
  4. Step 4: Simplify right side
    4,866.96x = 18,614,035.33
  5. Step 5: Solve for x
    x = 18,614,035.33/4,866.96
  6. Step 6: Final answer
    x = 3,824.57

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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.