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Finding the Fourth Proportional to 6,193.70, 8,546.12 and 3,540.55

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Solution

The fourth proportional to 6,193.70, 8,546.12 and 3,540.55 is: 4,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.70 : 8,546.12 = 3,540.55 : x
  2. Step 2: Convert to fraction form
    6,193.70/8,546.12 = 3,540.55/x
  3. Step 3: Cross multiply
    6,193.70x = 8,546.12 × 3,540.55
  4. Step 4: Simplify right side
    6,193.70x = 30,257,926.10
  5. Step 5: Solve for x
    x = 30,257,926.10/6,193.70
  6. Step 6: Final answer
    x = 4,885.27

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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.