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Finding the Fourth Proportional to 8,297.96, 12,440.36 and 4,135.70

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Solution

The fourth proportional to 8,297.96, 12,440.36 and 4,135.70 is: 6,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.96 : 12,440.36 = 4,135.70 : x
  2. Step 2: Convert to fraction form
    8,297.96/12,440.36 = 4,135.70/x
  3. Step 3: Cross multiply
    8,297.96x = 12,440.36 × 4,135.70
  4. Step 4: Simplify right side
    8,297.96x = 51,449,596.85
  5. Step 5: Solve for x
    x = 51,449,596.85/8,297.96
  6. Step 6: Final answer
    x = 6,200.27

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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.