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Finding the Fourth Proportional to 6,137.55, 8,469.12 and 3,748.68

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Solution

The fourth proportional to 6,137.55, 8,469.12 and 3,748.68 is: 5,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.55 : 8,469.12 = 3,748.68 : x
  2. Step 2: Convert to fraction form
    6,137.55/8,469.12 = 3,748.68/x
  3. Step 3: Cross multiply
    6,137.55x = 8,469.12 × 3,748.68
  4. Step 4: Simplify right side
    6,137.55x = 31,748,020.76
  5. Step 5: Solve for x
    x = 31,748,020.76/6,137.55
  6. Step 6: Final answer
    x = 5,172.75

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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.