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Finding the Fourth Proportional to 9,198.59, 13,859.87 and 7,591.14

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Solution

The fourth proportional to 9,198.59, 13,859.87 and 7,591.14 is: 11,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.59 : 13,859.87 = 7,591.14 : x
  2. Step 2: Convert to fraction form
    9,198.59/13,859.87 = 7,591.14/x
  3. Step 3: Cross multiply
    9,198.59x = 13,859.87 × 7,591.14
  4. Step 4: Simplify right side
    9,198.59x = 105,212,175.60
  5. Step 5: Solve for x
    x = 105,212,175.60/9,198.59
  6. Step 6: Final answer
    x = 11,437.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.