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Finding the Fourth Proportional to 12,286.85, 16,942.37 and 8,301.02

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Solution

The fourth proportional to 12,286.85, 16,942.37 and 8,301.02 is: 11,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.85 : 16,942.37 = 8,301.02 : x
  2. Step 2: Convert to fraction form
    12,286.85/16,942.37 = 8,301.02/x
  3. Step 3: Cross multiply
    12,286.85x = 16,942.37 × 8,301.02
  4. Step 4: Simplify right side
    12,286.85x = 140,638,826.00
  5. Step 5: Solve for x
    x = 140,638,826.00/12,286.85
  6. Step 6: Final answer
    x = 11,446.29

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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.