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Finding the Fourth Proportional to 4,932.42, 6,806.90 and 2,694.42

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Solution

The fourth proportional to 4,932.42, 6,806.90 and 2,694.42 is: 3,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.42 : 6,806.90 = 2,694.42 : x
  2. Step 2: Convert to fraction form
    4,932.42/6,806.90 = 2,694.42/x
  3. Step 3: Cross multiply
    4,932.42x = 6,806.90 × 2,694.42
  4. Step 4: Simplify right side
    4,932.42x = 18,340,634.03
  5. Step 5: Solve for x
    x = 18,340,634.03/4,932.42
  6. Step 6: Final answer
    x = 3,718.38

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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.