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Finding the Fourth Proportional to 7,414, 10,231.48 and 4,269.68

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Solution

The fourth proportional to 7,414, 10,231.48 and 4,269.68 is: 5,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 10,231.48 = 4,269.68 : x
  2. Step 2: Convert to fraction form
    7,414/10,231.48 = 4,269.68/x
  3. Step 3: Cross multiply
    7,414x = 10,231.48 × 4,269.68
  4. Step 4: Simplify right side
    7,414x = 43,685,145.53
  5. Step 5: Solve for x
    x = 43,685,145.53/7,414
  6. Step 6: Final answer
    x = 5,892.25

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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.