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Finding the Fourth Proportional to 7,198.85, 10,798.67 and 2,268.88

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Solution

The fourth proportional to 7,198.85, 10,798.67 and 2,268.88 is: 3,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.85 : 10,798.67 = 2,268.88 : x
  2. Step 2: Convert to fraction form
    7,198.85/10,798.67 = 2,268.88/x
  3. Step 3: Cross multiply
    7,198.85x = 10,798.67 × 2,268.88
  4. Step 4: Simplify right side
    7,198.85x = 24,500,848.05
  5. Step 5: Solve for x
    x = 24,500,848.05/7,198.85
  6. Step 6: Final answer
    x = 3,403.44

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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.