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Finding the Fourth Proportional to 6,161.49, 8,503.48 and 3,644.42

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Solution

The fourth proportional to 6,161.49, 8,503.48 and 3,644.42 is: 5,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.49 : 8,503.48 = 3,644.42 : x
  2. Step 2: Convert to fraction form
    6,161.49/8,503.48 = 3,644.42/x
  3. Step 3: Cross multiply
    6,161.49x = 8,503.48 × 3,644.42
  4. Step 4: Simplify right side
    6,161.49x = 30,990,214.62
  5. Step 5: Solve for x
    x = 30,990,214.62/6,161.49
  6. Step 6: Final answer
    x = 5,029.66

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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.