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Finding the Fourth Proportional to 12,082.46, 16,677.78 and 7,367.05

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Solution

The fourth proportional to 12,082.46, 16,677.78 and 7,367.05 is: 10,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.46 : 16,677.78 = 7,367.05 : x
  2. Step 2: Convert to fraction form
    12,082.46/16,677.78 = 7,367.05/x
  3. Step 3: Cross multiply
    12,082.46x = 16,677.78 × 7,367.05
  4. Step 4: Simplify right side
    12,082.46x = 122,865,955.76
  5. Step 5: Solve for x
    x = 122,865,955.76/12,082.46
  6. Step 6: Final answer
    x = 10,168.95

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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.