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Finding the Fourth Proportional to 6,575.45, 9,857.30 and 2,414.49

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Solution

The fourth proportional to 6,575.45, 9,857.30 and 2,414.49 is: 3,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.45 : 9,857.30 = 2,414.49 : x
  2. Step 2: Convert to fraction form
    6,575.45/9,857.30 = 2,414.49/x
  3. Step 3: Cross multiply
    6,575.45x = 9,857.30 × 2,414.49
  4. Step 4: Simplify right side
    6,575.45x = 23,800,352.28
  5. Step 5: Solve for x
    x = 23,800,352.28/6,575.45
  6. Step 6: Final answer
    x = 3,619.58

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