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Finding the Fourth Proportional to 6,696.94, 9,232.99 and 5,497.54

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Solution

The fourth proportional to 6,696.94, 9,232.99 and 5,497.54 is: 7,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.94 : 9,232.99 = 5,497.54 : x
  2. Step 2: Convert to fraction form
    6,696.94/9,232.99 = 5,497.54/x
  3. Step 3: Cross multiply
    6,696.94x = 9,232.99 × 5,497.54
  4. Step 4: Simplify right side
    6,696.94x = 50,758,731.84
  5. Step 5: Solve for x
    x = 50,758,731.84/6,696.94
  6. Step 6: Final answer
    x = 7,579.39

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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.