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Finding the Fourth Proportional to 7,198.84, 10,798.65 and 2,268.86

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Solution

The fourth proportional to 7,198.84, 10,798.65 and 2,268.86 is: 3,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.84 : 10,798.65 = 2,268.86 : x
  2. Step 2: Convert to fraction form
    7,198.84/10,798.65 = 2,268.86/x
  3. Step 3: Cross multiply
    7,198.84x = 10,798.65 × 2,268.86
  4. Step 4: Simplify right side
    7,198.84x = 24,500,613.69
  5. Step 5: Solve for x
    x = 24,500,613.69/7,198.84
  6. Step 6: Final answer
    x = 3,403.41

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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.