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Finding the Fourth Proportional to 12,706.92, 19,062.90 and 3,941.46

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Solution

The fourth proportional to 12,706.92, 19,062.90 and 3,941.46 is: 5,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.92 : 19,062.90 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    12,706.92/19,062.90 = 3,941.46/x
  3. Step 3: Cross multiply
    12,706.92x = 19,062.90 × 3,941.46
  4. Step 4: Simplify right side
    12,706.92x = 75,135,657.83
  5. Step 5: Solve for x
    x = 75,135,657.83/12,706.92
  6. Step 6: Final answer
    x = 5,912.97

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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.