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Finding the Fourth Proportional to 7,397, 10,208.27 and 4,253.39

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Solution

The fourth proportional to 7,397, 10,208.27 and 4,253.39 is: 5,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397 : 10,208.27 = 4,253.39 : x
  2. Step 2: Convert to fraction form
    7,397/10,208.27 = 4,253.39/x
  3. Step 3: Cross multiply
    7,397x = 10,208.27 × 4,253.39
  4. Step 4: Simplify right side
    7,397x = 43,419,753.54
  5. Step 5: Solve for x
    x = 43,419,753.54/7,397
  6. Step 6: Final answer
    x = 5,869.91

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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.