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Finding the Fourth Proportional to 6,706.90, 10,060.02 and 3,194.35

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Solution

The fourth proportional to 6,706.90, 10,060.02 and 3,194.35 is: 4,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.90 : 10,060.02 = 3,194.35 : x
  2. Step 2: Convert to fraction form
    6,706.90/10,060.02 = 3,194.35/x
  3. Step 3: Cross multiply
    6,706.90x = 10,060.02 × 3,194.35
  4. Step 4: Simplify right side
    6,706.90x = 32,135,224.89
  5. Step 5: Solve for x
    x = 32,135,224.89/6,706.90
  6. Step 6: Final answer
    x = 4,791.37

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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.