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Finding the Fourth Proportional to 11,198.40, 16,797.51 and 3,407.22

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Solution

The fourth proportional to 11,198.40, 16,797.51 and 3,407.22 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.40 : 16,797.51 = 3,407.22 : x
  2. Step 2: Convert to fraction form
    11,198.40/16,797.51 = 3,407.22/x
  3. Step 3: Cross multiply
    11,198.40x = 16,797.51 × 3,407.22
  4. Step 4: Simplify right side
    11,198.40x = 57,232,812.02
  5. Step 5: Solve for x
    x = 57,232,812.02/11,198.40
  6. Step 6: Final answer
    x = 5,110.80

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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.