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Finding the Fourth Proportional to 6,846.81, 10,270.22 and 2,464.16

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Solution

The fourth proportional to 6,846.81, 10,270.22 and 2,464.16 is: 3,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.81 : 10,270.22 = 2,464.16 : x
  2. Step 2: Convert to fraction form
    6,846.81/10,270.22 = 2,464.16/x
  3. Step 3: Cross multiply
    6,846.81x = 10,270.22 × 2,464.16
  4. Step 4: Simplify right side
    6,846.81x = 25,307,401.64
  5. Step 5: Solve for x
    x = 25,307,401.64/6,846.81
  6. Step 6: Final answer
    x = 3,696.23

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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.