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Finding the Fourth Proportional to 6,321.31, 9,481.95 and 2,810.50

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Solution

The fourth proportional to 6,321.31, 9,481.95 and 2,810.50 is: 4,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.31 : 9,481.95 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    6,321.31/9,481.95 = 2,810.50/x
  3. Step 3: Cross multiply
    6,321.31x = 9,481.95 × 2,810.50
  4. Step 4: Simplify right side
    6,321.31x = 26,648,996.77
  5. Step 5: Solve for x
    x = 26,648,996.77/6,321.31
  6. Step 6: Final answer
    x = 4,215.74

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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.