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Finding the Fourth Proportional to 6,865.46, 10,297.92 and 3,166.46

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Solution

The fourth proportional to 6,865.46, 10,297.92 and 3,166.46 is: 4,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.46 : 10,297.92 = 3,166.46 : x
  2. Step 2: Convert to fraction form
    6,865.46/10,297.92 = 3,166.46/x
  3. Step 3: Cross multiply
    6,865.46x = 10,297.92 × 3,166.46
  4. Step 4: Simplify right side
    6,865.46x = 32,607,951.76
  5. Step 5: Solve for x
    x = 32,607,951.76/6,865.46
  6. Step 6: Final answer
    x = 4,749.57

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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.