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Finding the Fourth Proportional to 7,413, 10,229.94 and 4,101

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Solution

The fourth proportional to 7,413, 10,229.94 and 4,101 is: 5,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 10,229.94 = 4,101 : x
  2. Step 2: Convert to fraction form
    7,413/10,229.94 = 4,101/x
  3. Step 3: Cross multiply
    7,413x = 10,229.94 × 4,101
  4. Step 4: Simplify right side
    7,413x = 41,952,983.94
  5. Step 5: Solve for x
    x = 41,952,983.94/7,413
  6. Step 6: Final answer
    x = 5,659.38

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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.