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Finding the Fourth Proportional to 6,682.64, 9,222.24 and 3,698.75

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Solution

The fourth proportional to 6,682.64, 9,222.24 and 3,698.75 is: 5,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.64 : 9,222.24 = 3,698.75 : x
  2. Step 2: Convert to fraction form
    6,682.64/9,222.24 = 3,698.75/x
  3. Step 3: Cross multiply
    6,682.64x = 9,222.24 × 3,698.75
  4. Step 4: Simplify right side
    6,682.64x = 34,110,783.26
  5. Step 5: Solve for x
    x = 34,110,783.26/6,682.64
  6. Step 6: Final answer
    x = 5,104.39

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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.