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Finding the Fourth Proportional to 6,797.34, 10,193.22 and 3,102.12

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Solution

The fourth proportional to 6,797.34, 10,193.22 and 3,102.12 is: 4,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.34 : 10,193.22 = 3,102.12 : x
  2. Step 2: Convert to fraction form
    6,797.34/10,193.22 = 3,102.12/x
  3. Step 3: Cross multiply
    6,797.34x = 10,193.22 × 3,102.12
  4. Step 4: Simplify right side
    6,797.34x = 31,620,591.63
  5. Step 5: Solve for x
    x = 31,620,591.63/6,797.34
  6. Step 6: Final answer
    x = 4,651.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.