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Finding the Fourth Proportional to 6,408.76, 8,846.04 and 3,755.20

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Solution

The fourth proportional to 6,408.76, 8,846.04 and 3,755.20 is: 5,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.76 : 8,846.04 = 3,755.20 : x
  2. Step 2: Convert to fraction form
    6,408.76/8,846.04 = 3,755.20/x
  3. Step 3: Cross multiply
    6,408.76x = 8,846.04 × 3,755.20
  4. Step 4: Simplify right side
    6,408.76x = 33,218,649.41
  5. Step 5: Solve for x
    x = 33,218,649.41/6,408.76
  6. Step 6: Final answer
    x = 5,183.32

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Half scale
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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.