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Finding the Fourth Proportional to 6,908.46, 10,356.28 and 2,524.92

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Solution

The fourth proportional to 6,908.46, 10,356.28 and 2,524.92 is: 3,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.46 : 10,356.28 = 2,524.92 : x
  2. Step 2: Convert to fraction form
    6,908.46/10,356.28 = 2,524.92/x
  3. Step 3: Cross multiply
    6,908.46x = 10,356.28 × 2,524.92
  4. Step 4: Simplify right side
    6,908.46x = 26,148,778.50
  5. Step 5: Solve for x
    x = 26,148,778.50/6,908.46
  6. Step 6: Final answer
    x = 3,785.04

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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.