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Finding the Fourth Proportional to 6,595.49, 9,893.12 and 2,647.64

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Solution

The fourth proportional to 6,595.49, 9,893.12 and 2,647.64 is: 3,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.49 : 9,893.12 = 2,647.64 : x
  2. Step 2: Convert to fraction form
    6,595.49/9,893.12 = 2,647.64/x
  3. Step 3: Cross multiply
    6,595.49x = 9,893.12 × 2,647.64
  4. Step 4: Simplify right side
    6,595.49x = 26,193,431.73
  5. Step 5: Solve for x
    x = 26,193,431.73/6,595.49
  6. Step 6: Final answer
    x = 3,971.41

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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.