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Finding the Fourth Proportional to 6,299.10, 9,449.10 and 1,916.54

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Solution

The fourth proportional to 6,299.10, 9,449.10 and 1,916.54 is: 2,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.10 : 9,449.10 = 1,916.54 : x
  2. Step 2: Convert to fraction form
    6,299.10/9,449.10 = 1,916.54/x
  3. Step 3: Cross multiply
    6,299.10x = 9,449.10 × 1,916.54
  4. Step 4: Simplify right side
    6,299.10x = 18,109,530.87
  5. Step 5: Solve for x
    x = 18,109,530.87/6,299.10
  6. Step 6: Final answer
    x = 2,874.94

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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.