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Finding the Fourth Proportional to 6,503.46, 9,756 and 2,119.74

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Solution

The fourth proportional to 6,503.46, 9,756 and 2,119.74 is: 3,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.46 : 9,756 = 2,119.74 : x
  2. Step 2: Convert to fraction form
    6,503.46/9,756 = 2,119.74/x
  3. Step 3: Cross multiply
    6,503.46x = 9,756 × 2,119.74
  4. Step 4: Simplify right side
    6,503.46x = 20,680,183.44
  5. Step 5: Solve for x
    x = 20,680,183.44/6,503.46
  6. Step 6: Final answer
    x = 3,179.87

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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.