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Finding the Fourth Proportional to 6,560.33, 9,841.10 and 2,177.82

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Solution

The fourth proportional to 6,560.33, 9,841.10 and 2,177.82 is: 3,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.33 : 9,841.10 = 2,177.82 : x
  2. Step 2: Convert to fraction form
    6,560.33/9,841.10 = 2,177.82/x
  3. Step 3: Cross multiply
    6,560.33x = 9,841.10 × 2,177.82
  4. Step 4: Simplify right side
    6,560.33x = 21,432,133.51
  5. Step 5: Solve for x
    x = 21,432,133.51/6,560.33
  6. Step 6: Final answer
    x = 3,266.93

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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.