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Finding the Fourth Proportional to 3,464.99, 5,197.94 and 1,273.74

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Solution

The fourth proportional to 3,464.99, 5,197.94 and 1,273.74 is: 1,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.99 : 5,197.94 = 1,273.74 : x
  2. Step 2: Convert to fraction form
    3,464.99/5,197.94 = 1,273.74/x
  3. Step 3: Cross multiply
    3,464.99x = 5,197.94 × 1,273.74
  4. Step 4: Simplify right side
    3,464.99x = 6,620,824.10
  5. Step 5: Solve for x
    x = 6,620,824.10/3,464.99
  6. Step 6: Final answer
    x = 1,910.78

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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.