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Finding the Fourth Proportional to 4,993.71, 6,891.96 and 4,152.97

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Solution

The fourth proportional to 4,993.71, 6,891.96 and 4,152.97 is: 5,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.71 : 6,891.96 = 4,152.97 : x
  2. Step 2: Convert to fraction form
    4,993.71/6,891.96 = 4,152.97/x
  3. Step 3: Cross multiply
    4,993.71x = 6,891.96 × 4,152.97
  4. Step 4: Simplify right side
    4,993.71x = 28,622,103.12
  5. Step 5: Solve for x
    x = 28,622,103.12/4,993.71
  6. Step 6: Final answer
    x = 5,731.63

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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.