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Finding the Fourth Proportional to 6,333.48, 9,494.76 and 3,408.40

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Solution

The fourth proportional to 6,333.48, 9,494.76 and 3,408.40 is: 5,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.48 : 9,494.76 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    6,333.48/9,494.76 = 3,408.40/x
  3. Step 3: Cross multiply
    6,333.48x = 9,494.76 × 3,408.40
  4. Step 4: Simplify right side
    6,333.48x = 32,361,939.98
  5. Step 5: Solve for x
    x = 32,361,939.98/6,333.48
  6. Step 6: Final answer
    x = 5,109.66

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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.