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Finding the Fourth Proportional to 6,580.36, 9,869.82 and 1,963

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Solution

The fourth proportional to 6,580.36, 9,869.82 and 1,963 is: 2,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.36 : 9,869.82 = 1,963 : x
  2. Step 2: Convert to fraction form
    6,580.36/9,869.82 = 1,963/x
  3. Step 3: Cross multiply
    6,580.36x = 9,869.82 × 1,963
  4. Step 4: Simplify right side
    6,580.36x = 19,374,456.66
  5. Step 5: Solve for x
    x = 19,374,456.66/6,580.36
  6. Step 6: Final answer
    x = 2,944.29

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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.