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Finding the Fourth Proportional to 6,137.59, 8,469.88 and 3,343.09

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Solution

The fourth proportional to 6,137.59, 8,469.88 and 3,343.09 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.59 : 8,469.88 = 3,343.09 : x
  2. Step 2: Convert to fraction form
    6,137.59/8,469.88 = 3,343.09/x
  3. Step 3: Cross multiply
    6,137.59x = 8,469.88 × 3,343.09
  4. Step 4: Simplify right side
    6,137.59x = 28,315,571.13
  5. Step 5: Solve for x
    x = 28,315,571.13/6,137.59
  6. Step 6: Final answer
    x = 4,613.47

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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.