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Finding the Fourth Proportional to 6,125, 9,189.42 and 2,662.76

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Solution

The fourth proportional to 6,125, 9,189.42 and 2,662.76 is: 3,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125 : 9,189.42 = 2,662.76 : x
  2. Step 2: Convert to fraction form
    6,125/9,189.42 = 2,662.76/x
  3. Step 3: Cross multiply
    6,125x = 9,189.42 × 2,662.76
  4. Step 4: Simplify right side
    6,125x = 24,469,220.00
  5. Step 5: Solve for x
    x = 24,469,220.00/6,125
  6. Step 6: Final answer
    x = 3,994.97

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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.