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Finding the Fourth Proportional to 6,896.45, 9,516.35 and 4,063.61

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Solution

The fourth proportional to 6,896.45, 9,516.35 and 4,063.61 is: 5,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.45 : 9,516.35 = 4,063.61 : x
  2. Step 2: Convert to fraction form
    6,896.45/9,516.35 = 4,063.61/x
  3. Step 3: Cross multiply
    6,896.45x = 9,516.35 × 4,063.61
  4. Step 4: Simplify right side
    6,896.45x = 38,670,768.97
  5. Step 5: Solve for x
    x = 38,670,768.97/6,896.45
  6. Step 6: Final answer
    x = 5,607.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.