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Finding the Fourth Proportional to 6,265.49, 9,398.42 and 1,882.96

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Solution

The fourth proportional to 6,265.49, 9,398.42 and 1,882.96 is: 2,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.49 : 9,398.42 = 1,882.96 : x
  2. Step 2: Convert to fraction form
    6,265.49/9,398.42 = 1,882.96/x
  3. Step 3: Cross multiply
    6,265.49x = 9,398.42 × 1,882.96
  4. Step 4: Simplify right side
    6,265.49x = 17,696,848.92
  5. Step 5: Solve for x
    x = 17,696,848.92/6,265.49
  6. Step 6: Final answer
    x = 2,824.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.