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Finding the Fourth Proportional to 6,302.64, 9,453.69 and 1,919.97

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Solution

The fourth proportional to 6,302.64, 9,453.69 and 1,919.97 is: 2,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.64 : 9,453.69 = 1,919.97 : x
  2. Step 2: Convert to fraction form
    6,302.64/9,453.69 = 1,919.97/x
  3. Step 3: Cross multiply
    6,302.64x = 9,453.69 × 1,919.97
  4. Step 4: Simplify right side
    6,302.64x = 18,150,801.19
  5. Step 5: Solve for x
    x = 18,150,801.19/6,302.64
  6. Step 6: Final answer
    x = 2,879.87

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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.