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Finding the Fourth Proportional to 6,481.02, 9,714.24 and 2,580.87

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Solution

The fourth proportional to 6,481.02, 9,714.24 and 2,580.87 is: 3,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.02 : 9,714.24 = 2,580.87 : x
  2. Step 2: Convert to fraction form
    6,481.02/9,714.24 = 2,580.87/x
  3. Step 3: Cross multiply
    6,481.02x = 9,714.24 × 2,580.87
  4. Step 4: Simplify right side
    6,481.02x = 25,071,190.59
  5. Step 5: Solve for x
    x = 25,071,190.59/6,481.02
  6. Step 6: Final answer
    x = 3,868.40

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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.