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Finding the Fourth Proportional to 6,838.56, 10,247.92 and 3,715.92

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Solution

The fourth proportional to 6,838.56, 10,247.92 and 3,715.92 is: 5,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.56 : 10,247.92 = 3,715.92 : x
  2. Step 2: Convert to fraction form
    6,838.56/10,247.92 = 3,715.92/x
  3. Step 3: Cross multiply
    6,838.56x = 10,247.92 × 3,715.92
  4. Step 4: Simplify right side
    6,838.56x = 38,080,450.89
  5. Step 5: Solve for x
    x = 38,080,450.89/6,838.56
  6. Step 6: Final answer
    x = 5,568.49

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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.