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Finding the Fourth Proportional to 6,331.96, 8,729.96 and 5,193.44

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Solution

The fourth proportional to 6,331.96, 8,729.96 and 5,193.44 is: 7,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.96 : 8,729.96 = 5,193.44 : x
  2. Step 2: Convert to fraction form
    6,331.96/8,729.96 = 5,193.44/x
  3. Step 3: Cross multiply
    6,331.96x = 8,729.96 × 5,193.44
  4. Step 4: Simplify right side
    6,331.96x = 45,338,523.46
  5. Step 5: Solve for x
    x = 45,338,523.46/6,331.96
  6. Step 6: Final answer
    x = 7,160.27

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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.