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Finding the Fourth Proportional to 11,197.80, 16,797.64 and 3,406.68

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Solution

The fourth proportional to 11,197.80, 16,797.64 and 3,406.68 is: 5,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.80 : 16,797.64 = 3,406.68 : x
  2. Step 2: Convert to fraction form
    11,197.80/16,797.64 = 3,406.68/x
  3. Step 3: Cross multiply
    11,197.80x = 16,797.64 × 3,406.68
  4. Step 4: Simplify right side
    11,197.80x = 57,224,184.24
  5. Step 5: Solve for x
    x = 57,224,184.24/11,197.80
  6. Step 6: Final answer
    x = 5,110.31

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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.