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Finding the Fourth Proportional to 12,797.60, 19,198.24 and 4,033.22

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Solution

The fourth proportional to 12,797.60, 19,198.24 and 4,033.22 is: 6,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.60 : 19,198.24 = 4,033.22 : x
  2. Step 2: Convert to fraction form
    12,797.60/19,198.24 = 4,033.22/x
  3. Step 3: Cross multiply
    12,797.60x = 19,198.24 × 4,033.22
  4. Step 4: Simplify right side
    12,797.60x = 77,430,725.53
  5. Step 5: Solve for x
    x = 77,430,725.53/12,797.60
  6. Step 6: Final answer
    x = 6,050.41

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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.