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Finding the Fourth Proportional to 6,481.10, 9,721.65 and 1,801.10

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Solution

The fourth proportional to 6,481.10, 9,721.65 and 1,801.10 is: 2,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.10 : 9,721.65 = 1,801.10 : x
  2. Step 2: Convert to fraction form
    6,481.10/9,721.65 = 1,801.10/x
  3. Step 3: Cross multiply
    6,481.10x = 9,721.65 × 1,801.10
  4. Step 4: Simplify right side
    6,481.10x = 17,509,663.82
  5. Step 5: Solve for x
    x = 17,509,663.82/6,481.10
  6. Step 6: Final answer
    x = 2,701.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.