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Finding the Fourth Proportional to 6,362.04, 9,546.79 and 2,663.96

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Solution

The fourth proportional to 6,362.04, 9,546.79 and 2,663.96 is: 3,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.04 : 9,546.79 = 2,663.96 : x
  2. Step 2: Convert to fraction form
    6,362.04/9,546.79 = 2,663.96/x
  3. Step 3: Cross multiply
    6,362.04x = 9,546.79 × 2,663.96
  4. Step 4: Simplify right side
    6,362.04x = 25,432,290.35
  5. Step 5: Solve for x
    x = 25,432,290.35/6,362.04
  6. Step 6: Final answer
    x = 3,997.50

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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.