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Finding the Fourth Proportional to 6,905.08, 10,357.98 and 1,974.34

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Solution

The fourth proportional to 6,905.08, 10,357.98 and 1,974.34 is: 2,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.08 : 10,357.98 = 1,974.34 : x
  2. Step 2: Convert to fraction form
    6,905.08/10,357.98 = 1,974.34/x
  3. Step 3: Cross multiply
    6,905.08x = 10,357.98 × 1,974.34
  4. Step 4: Simplify right side
    6,905.08x = 20,450,174.23
  5. Step 5: Solve for x
    x = 20,450,174.23/6,905.08
  6. Step 6: Final answer
    x = 2,961.61

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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.