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Finding the Fourth Proportional to 4,866.94, 6,716.38 and 2,771.47

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Solution

The fourth proportional to 4,866.94, 6,716.38 and 2,771.47 is: 3,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.94 : 6,716.38 = 2,771.47 : x
  2. Step 2: Convert to fraction form
    4,866.94/6,716.38 = 2,771.47/x
  3. Step 3: Cross multiply
    4,866.94x = 6,716.38 × 2,771.47
  4. Step 4: Simplify right side
    4,866.94x = 18,614,221.96
  5. Step 5: Solve for x
    x = 18,614,221.96/4,866.94
  6. Step 6: Final answer
    x = 3,824.63

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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.