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Finding the Fourth Proportional to 6,161.67, 8,502.98 and 3,770.82

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Solution

The fourth proportional to 6,161.67, 8,502.98 and 3,770.82 is: 5,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.67 : 8,502.98 = 3,770.82 : x
  2. Step 2: Convert to fraction form
    6,161.67/8,502.98 = 3,770.82/x
  3. Step 3: Cross multiply
    6,161.67x = 8,502.98 × 3,770.82
  4. Step 4: Simplify right side
    6,161.67x = 32,063,188.19
  5. Step 5: Solve for x
    x = 32,063,188.19/6,161.67
  6. Step 6: Final answer
    x = 5,203.65

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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.