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Finding the Fourth Proportional to 12,706.60, 19,061.74 and 3,942.22

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Solution

The fourth proportional to 12,706.60, 19,061.74 and 3,942.22 is: 5,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.60 : 19,061.74 = 3,942.22 : x
  2. Step 2: Convert to fraction form
    12,706.60/19,061.74 = 3,942.22/x
  3. Step 3: Cross multiply
    12,706.60x = 19,061.74 × 3,942.22
  4. Step 4: Simplify right side
    12,706.60x = 75,145,572.66
  5. Step 5: Solve for x
    x = 75,145,572.66/12,706.60
  6. Step 6: Final answer
    x = 5,913.90

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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.