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Finding the Fourth Proportional to 6,846.58, 10,270.56 and 2,465.74

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Solution

The fourth proportional to 6,846.58, 10,270.56 and 2,465.74 is: 3,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.58 : 10,270.56 = 2,465.74 : x
  2. Step 2: Convert to fraction form
    6,846.58/10,270.56 = 2,465.74/x
  3. Step 3: Cross multiply
    6,846.58x = 10,270.56 × 2,465.74
  4. Step 4: Simplify right side
    6,846.58x = 25,324,530.61
  5. Step 5: Solve for x
    x = 25,324,530.61/6,846.58
  6. Step 6: Final answer
    x = 3,698.86

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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.