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Finding the Fourth Proportional to 6,137.67, 8,469.99 and 3,343.17

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Solution

The fourth proportional to 6,137.67, 8,469.99 and 3,343.17 is: 4,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.67 : 8,469.99 = 3,343.17 : x
  2. Step 2: Convert to fraction form
    6,137.67/8,469.99 = 3,343.17/x
  3. Step 3: Cross multiply
    6,137.67x = 8,469.99 × 3,343.17
  4. Step 4: Simplify right side
    6,137.67x = 28,316,616.47
  5. Step 5: Solve for x
    x = 28,316,616.47/6,137.67
  6. Step 6: Final answer
    x = 4,613.58

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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.