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Finding the Fourth Proportional to 6,983.67, 10,473.78 and 4,173.31

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Solution

The fourth proportional to 6,983.67, 10,473.78 and 4,173.31 is: 6,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.67 : 10,473.78 = 4,173.31 : x
  2. Step 2: Convert to fraction form
    6,983.67/10,473.78 = 4,173.31/x
  3. Step 3: Cross multiply
    6,983.67x = 10,473.78 × 4,173.31
  4. Step 4: Simplify right side
    6,983.67x = 43,710,257.58
  5. Step 5: Solve for x
    x = 43,710,257.58/6,983.67
  6. Step 6: Final answer
    x = 6,258.93

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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.