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Finding the Fourth Proportional to 6,738.75, 10,087.29 and 6,164.73

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Solution

The fourth proportional to 6,738.75, 10,087.29 and 6,164.73 is: 9,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.75 : 10,087.29 = 6,164.73 : x
  2. Step 2: Convert to fraction form
    6,738.75/10,087.29 = 6,164.73/x
  3. Step 3: Cross multiply
    6,738.75x = 10,087.29 × 6,164.73
  4. Step 4: Simplify right side
    6,738.75x = 62,185,419.28
  5. Step 5: Solve for x
    x = 62,185,419.28/6,738.75
  6. Step 6: Final answer
    x = 9,228.03

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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.