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Finding the Fourth Proportional to 4,974.68, 7,463.26 and 1,464.80

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Solution

The fourth proportional to 4,974.68, 7,463.26 and 1,464.80 is: 2,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.68 : 7,463.26 = 1,464.80 : x
  2. Step 2: Convert to fraction form
    4,974.68/7,463.26 = 1,464.80/x
  3. Step 3: Cross multiply
    4,974.68x = 7,463.26 × 1,464.80
  4. Step 4: Simplify right side
    4,974.68x = 10,932,183.25
  5. Step 5: Solve for x
    x = 10,932,183.25/4,974.68
  6. Step 6: Final answer
    x = 2,197.57

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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.