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Finding the Fourth Proportional to 6,102.87, 9,146.29 and 3,471.58

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Solution

The fourth proportional to 6,102.87, 9,146.29 and 3,471.58 is: 5,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.87 : 9,146.29 = 3,471.58 : x
  2. Step 2: Convert to fraction form
    6,102.87/9,146.29 = 3,471.58/x
  3. Step 3: Cross multiply
    6,102.87x = 9,146.29 × 3,471.58
  4. Step 4: Simplify right side
    6,102.87x = 31,752,077.44
  5. Step 5: Solve for x
    x = 31,752,077.44/6,102.87
  6. Step 6: Final answer
    x = 5,202.81

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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.