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Finding the Fourth Proportional to 6,706.86, 9,255.90 and 3,874.36

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Solution

The fourth proportional to 6,706.86, 9,255.90 and 3,874.36 is: 5,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.86 : 9,255.90 = 3,874.36 : x
  2. Step 2: Convert to fraction form
    6,706.86/9,255.90 = 3,874.36/x
  3. Step 3: Cross multiply
    6,706.86x = 9,255.90 × 3,874.36
  4. Step 4: Simplify right side
    6,706.86x = 35,860,671.44
  5. Step 5: Solve for x
    x = 35,860,671.44/6,706.86
  6. Step 6: Final answer
    x = 5,346.86

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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.