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Finding the Fourth Proportional to 6,167.88, 9,252.20 and 2,275

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Solution

The fourth proportional to 6,167.88, 9,252.20 and 2,275 is: 3,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.88 : 9,252.20 = 2,275 : x
  2. Step 2: Convert to fraction form
    6,167.88/9,252.20 = 2,275/x
  3. Step 3: Cross multiply
    6,167.88x = 9,252.20 × 2,275
  4. Step 4: Simplify right side
    6,167.88x = 21,048,755
  5. Step 5: Solve for x
    x = 21,048,755/6,167.88
  6. Step 6: Final answer
    x = 3,412.64

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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.