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Finding the Fourth Proportional to 5,906.67, 8,135.37 and 5,463.24

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Solution

The fourth proportional to 5,906.67, 8,135.37 and 5,463.24 is: 7,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.67 : 8,135.37 = 5,463.24 : x
  2. Step 2: Convert to fraction form
    5,906.67/8,135.37 = 5,463.24/x
  3. Step 3: Cross multiply
    5,906.67x = 8,135.37 × 5,463.24
  4. Step 4: Simplify right side
    5,906.67x = 44,445,478.80
  5. Step 5: Solve for x
    x = 44,445,478.80/5,906.67
  6. Step 6: Final answer
    x = 7,524.63

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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.