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Finding the Fourth Proportional to 6,344.84, 9,516.32 and 2,448.76

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Solution

The fourth proportional to 6,344.84, 9,516.32 and 2,448.76 is: 3,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.84 : 9,516.32 = 2,448.76 : x
  2. Step 2: Convert to fraction form
    6,344.84/9,516.32 = 2,448.76/x
  3. Step 3: Cross multiply
    6,344.84x = 9,516.32 × 2,448.76
  4. Step 4: Simplify right side
    6,344.84x = 23,303,183.76
  5. Step 5: Solve for x
    x = 23,303,183.76/6,344.84
  6. Step 6: Final answer
    x = 3,672.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.