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Finding the Fourth Proportional to 9,198.97, 13,799.73 and 3,652.86

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Solution

The fourth proportional to 9,198.97, 13,799.73 and 3,652.86 is: 5,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.97 : 13,799.73 = 3,652.86 : x
  2. Step 2: Convert to fraction form
    9,198.97/13,799.73 = 3,652.86/x
  3. Step 3: Cross multiply
    9,198.97x = 13,799.73 × 3,652.86
  4. Step 4: Simplify right side
    9,198.97x = 50,408,547.18
  5. Step 5: Solve for x
    x = 50,408,547.18/9,198.97
  6. Step 6: Final answer
    x = 5,479.80

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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.