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Finding the Fourth Proportional to 3,106.73, 4,660.14 and 798.23

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Solution

The fourth proportional to 3,106.73, 4,660.14 and 798.23 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.73 : 4,660.14 = 798.23 : x
  2. Step 2: Convert to fraction form
    3,106.73/4,660.14 = 798.23/x
  3. Step 3: Cross multiply
    3,106.73x = 4,660.14 × 798.23
  4. Step 4: Simplify right side
    3,106.73x = 3,719,863.55
  5. Step 5: Solve for x
    x = 3,719,863.55/3,106.73
  6. Step 6: Final answer
    x = 1,197.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.