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Finding the Fourth Proportional to 10,766.46, 16,163.46 and 8,302.98

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Solution

The fourth proportional to 10,766.46, 16,163.46 and 8,302.98 is: 12,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.46 : 16,163.46 = 8,302.98 : x
  2. Step 2: Convert to fraction form
    10,766.46/16,163.46 = 8,302.98/x
  3. Step 3: Cross multiply
    10,766.46x = 16,163.46 × 8,302.98
  4. Step 4: Simplify right side
    10,766.46x = 134,204,885.11
  5. Step 5: Solve for x
    x = 134,204,885.11/10,766.46
  6. Step 6: Final answer
    x = 12,465.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.