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Finding the Fourth Proportional to 7,197.66, 10,797.84 and 2,266.92

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Solution

The fourth proportional to 7,197.66, 10,797.84 and 2,266.92 is: 3,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.66 : 10,797.84 = 2,266.92 : x
  2. Step 2: Convert to fraction form
    7,197.66/10,797.84 = 2,266.92/x
  3. Step 3: Cross multiply
    7,197.66x = 10,797.84 × 2,266.92
  4. Step 4: Simplify right side
    7,197.66x = 24,477,839.45
  5. Step 5: Solve for x
    x = 24,477,839.45/7,197.66
  6. Step 6: Final answer
    x = 3,400.81

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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.