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Finding the Fourth Proportional to 6,706.63, 10,060.22 and 3,194.83

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Solution

The fourth proportional to 6,706.63, 10,060.22 and 3,194.83 is: 4,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.63 : 10,060.22 = 3,194.83 : x
  2. Step 2: Convert to fraction form
    6,706.63/10,060.22 = 3,194.83/x
  3. Step 3: Cross multiply
    6,706.63x = 10,060.22 × 3,194.83
  4. Step 4: Simplify right side
    6,706.63x = 32,140,692.66
  5. Step 5: Solve for x
    x = 32,140,692.66/6,706.63
  6. Step 6: Final answer
    x = 4,792.38

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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.