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Finding the Fourth Proportional to 9,198.34, 13,679.93 and 9,099.92

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Solution

The fourth proportional to 9,198.34, 13,679.93 and 9,099.92 is: 13,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.34 : 13,679.93 = 9,099.92 : x
  2. Step 2: Convert to fraction form
    9,198.34/13,679.93 = 9,099.92/x
  3. Step 3: Cross multiply
    9,198.34x = 13,679.93 × 9,099.92
  4. Step 4: Simplify right side
    9,198.34x = 124,486,268.61
  5. Step 5: Solve for x
    x = 124,486,268.61/9,198.34
  6. Step 6: Final answer
    x = 13,533.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.