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Finding the Fourth Proportional to 3,195.70, 4,794.27 and 974.73

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Solution

The fourth proportional to 3,195.70, 4,794.27 and 974.73 is: 1,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.70 : 4,794.27 = 974.73 : x
  2. Step 2: Convert to fraction form
    3,195.70/4,794.27 = 974.73/x
  3. Step 3: Cross multiply
    3,195.70x = 4,794.27 × 974.73
  4. Step 4: Simplify right side
    3,195.70x = 4,673,097.16
  5. Step 5: Solve for x
    x = 4,673,097.16/3,195.70
  6. Step 6: Final answer
    x = 1,462.31

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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.