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Finding the Fourth Proportional to 8,297.40, 12,449.70 and 4,193.40

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Solution

The fourth proportional to 8,297.40, 12,449.70 and 4,193.40 is: 6,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.40 : 12,449.70 = 4,193.40 : x
  2. Step 2: Convert to fraction form
    8,297.40/12,449.70 = 4,193.40/x
  3. Step 3: Cross multiply
    8,297.40x = 12,449.70 × 4,193.40
  4. Step 4: Simplify right side
    8,297.40x = 52,206,571.98
  5. Step 5: Solve for x
    x = 52,206,571.98/8,297.40
  6. Step 6: Final answer
    x = 6,291.92

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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.