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Finding the Fourth Proportional to 6,846.18, 10,269.26 and 1,652.06

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Solution

The fourth proportional to 6,846.18, 10,269.26 and 1,652.06 is: 2,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.18 : 10,269.26 = 1,652.06 : x
  2. Step 2: Convert to fraction form
    6,846.18/10,269.26 = 1,652.06/x
  3. Step 3: Cross multiply
    6,846.18x = 10,269.26 × 1,652.06
  4. Step 4: Simplify right side
    6,846.18x = 16,965,433.68
  5. Step 5: Solve for x
    x = 16,965,433.68/6,846.18
  6. Step 6: Final answer
    x = 2,478.09

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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.