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Finding the Fourth Proportional to 6,647.34, 9,971.01 and 2,030.34

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Solution

The fourth proportional to 6,647.34, 9,971.01 and 2,030.34 is: 3,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.34 : 9,971.01 = 2,030.34 : x
  2. Step 2: Convert to fraction form
    6,647.34/9,971.01 = 2,030.34/x
  3. Step 3: Cross multiply
    6,647.34x = 9,971.01 × 2,030.34
  4. Step 4: Simplify right side
    6,647.34x = 20,244,540.44
  5. Step 5: Solve for x
    x = 20,244,540.44/6,647.34
  6. Step 6: Final answer
    x = 3,045.51

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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.