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Finding the Fourth Proportional to 6,367.51, 9,541.49 and 2,667.71

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Solution

The fourth proportional to 6,367.51, 9,541.49 and 2,667.71 is: 3,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.51 : 9,541.49 = 2,667.71 : x
  2. Step 2: Convert to fraction form
    6,367.51/9,541.49 = 2,667.71/x
  3. Step 3: Cross multiply
    6,367.51x = 9,541.49 × 2,667.71
  4. Step 4: Simplify right side
    6,367.51x = 25,453,928.29
  5. Step 5: Solve for x
    x = 25,453,928.29/6,367.51
  6. Step 6: Final answer
    x = 3,997.47

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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.