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Finding the Fourth Proportional to 8,197.94, 11,311.44 and 4,839.68

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Solution

The fourth proportional to 8,197.94, 11,311.44 and 4,839.68 is: 6,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.94 : 11,311.44 = 4,839.68 : x
  2. Step 2: Convert to fraction form
    8,197.94/11,311.44 = 4,839.68/x
  3. Step 3: Cross multiply
    8,197.94x = 11,311.44 × 4,839.68
  4. Step 4: Simplify right side
    8,197.94x = 54,743,749.94
  5. Step 5: Solve for x
    x = 54,743,749.94/8,197.94
  6. Step 6: Final answer
    x = 6,677.74

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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.