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Finding the Fourth Proportional to 6,562.97, 9,848.22 and 2,402.43

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Solution

The fourth proportional to 6,562.97, 9,848.22 and 2,402.43 is: 3,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.97 : 9,848.22 = 2,402.43 : x
  2. Step 2: Convert to fraction form
    6,562.97/9,848.22 = 2,402.43/x
  3. Step 3: Cross multiply
    6,562.97x = 9,848.22 × 2,402.43
  4. Step 4: Simplify right side
    6,562.97x = 23,659,706.46
  5. Step 5: Solve for x
    x = 23,659,706.46/6,562.97
  6. Step 6: Final answer
    x = 3,605.03

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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.