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Finding the Fourth Proportional to 6,684.78, 9,224.73 and 3,659.97

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Solution

The fourth proportional to 6,684.78, 9,224.73 and 3,659.97 is: 5,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.78 : 9,224.73 = 3,659.97 : x
  2. Step 2: Convert to fraction form
    6,684.78/9,224.73 = 3,659.97/x
  3. Step 3: Cross multiply
    6,684.78x = 9,224.73 × 3,659.97
  4. Step 4: Simplify right side
    6,684.78x = 33,762,235.06
  5. Step 5: Solve for x
    x = 33,762,235.06/6,684.78
  6. Step 6: Final answer
    x = 5,050.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.