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Finding the Fourth Proportional to 12,286.55, 16,942.04 and 8,300.74

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Solution

The fourth proportional to 12,286.55, 16,942.04 and 8,300.74 is: 11,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.55 : 16,942.04 = 8,300.74 : x
  2. Step 2: Convert to fraction form
    12,286.55/16,942.04 = 8,300.74/x
  3. Step 3: Cross multiply
    12,286.55x = 16,942.04 × 8,300.74
  4. Step 4: Simplify right side
    12,286.55x = 140,631,469.11
  5. Step 5: Solve for x
    x = 140,631,469.11/12,286.55
  6. Step 6: Final answer
    x = 11,445.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.