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Finding the Fourth Proportional to 9,198.60, 12,611.24 and 9,032.80

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Solution

The fourth proportional to 9,198.60, 12,611.24 and 9,032.80 is: 12,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.60 : 12,611.24 = 9,032.80 : x
  2. Step 2: Convert to fraction form
    9,198.60/12,611.24 = 9,032.80/x
  3. Step 3: Cross multiply
    9,198.60x = 12,611.24 × 9,032.80
  4. Step 4: Simplify right side
    9,198.60x = 113,914,808.67
  5. Step 5: Solve for x
    x = 113,914,808.67/9,198.60
  6. Step 6: Final answer
    x = 12,383.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.