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Finding the Fourth Proportional to 8,344.96, 11,504 and 6,671.36

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Solution

The fourth proportional to 8,344.96, 11,504 and 6,671.36 is: 9,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.96 : 11,504 = 6,671.36 : x
  2. Step 2: Convert to fraction form
    8,344.96/11,504 = 6,671.36/x
  3. Step 3: Cross multiply
    8,344.96x = 11,504 × 6,671.36
  4. Step 4: Simplify right side
    8,344.96x = 76,747,325.44
  5. Step 5: Solve for x
    x = 76,747,325.44/8,344.96
  6. Step 6: Final answer
    x = 9,196.85

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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.