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Finding the Fourth Proportional to 6,046.44, 9,072.24 and 3,415.92

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Solution

The fourth proportional to 6,046.44, 9,072.24 and 3,415.92 is: 5,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.44 : 9,072.24 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    6,046.44/9,072.24 = 3,415.92/x
  3. Step 3: Cross multiply
    6,046.44x = 9,072.24 × 3,415.92
  4. Step 4: Simplify right side
    6,046.44x = 30,990,046.06
  5. Step 5: Solve for x
    x = 30,990,046.06/6,046.44
  6. Step 6: Final answer
    x = 5,125.34

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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.