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Finding the Fourth Proportional to 6,167.94, 9,251 and 2,271.44

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Solution

The fourth proportional to 6,167.94, 9,251 and 2,271.44 is: 3,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.94 : 9,251 = 2,271.44 : x
  2. Step 2: Convert to fraction form
    6,167.94/9,251 = 2,271.44/x
  3. Step 3: Cross multiply
    6,167.94x = 9,251 × 2,271.44
  4. Step 4: Simplify right side
    6,167.94x = 21,013,091.44
  5. Step 5: Solve for x
    x = 21,013,091.44/6,167.94
  6. Step 6: Final answer
    x = 3,406.82

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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.