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Finding the Fourth Proportional to 6,698.82, 10,046.31 and 2,256

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Solution

The fourth proportional to 6,698.82, 10,046.31 and 2,256 is: 3,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.82 : 10,046.31 = 2,256 : x
  2. Step 2: Convert to fraction form
    6,698.82/10,046.31 = 2,256/x
  3. Step 3: Cross multiply
    6,698.82x = 10,046.31 × 2,256
  4. Step 4: Simplify right side
    6,698.82x = 22,664,475.36
  5. Step 5: Solve for x
    x = 22,664,475.36/6,698.82
  6. Step 6: Final answer
    x = 3,383.35

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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.