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Finding the Fourth Proportional to 6,171, 8,515.98 and 3,963

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Solution

The fourth proportional to 6,171, 8,515.98 and 3,963 is: 5,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 8,515.98 = 3,963 : x
  2. Step 2: Convert to fraction form
    6,171/8,515.98 = 3,963/x
  3. Step 3: Cross multiply
    6,171x = 8,515.98 × 3,963
  4. Step 4: Simplify right side
    6,171x = 33,748,828.74
  5. Step 5: Solve for x
    x = 33,748,828.74/6,171
  6. Step 6: Final answer
    x = 5,468.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.