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Finding the Fourth Proportional to 6,575.73, 9,857.73 and 2,414.79

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Solution

The fourth proportional to 6,575.73, 9,857.73 and 2,414.79 is: 3,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.73 : 9,857.73 = 2,414.79 : x
  2. Step 2: Convert to fraction form
    6,575.73/9,857.73 = 2,414.79/x
  3. Step 3: Cross multiply
    6,575.73x = 9,857.73 × 2,414.79
  4. Step 4: Simplify right side
    6,575.73x = 23,804,347.83
  5. Step 5: Solve for x
    x = 23,804,347.83/6,575.73
  6. Step 6: Final answer
    x = 3,620.03

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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.