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Finding the Fourth Proportional to 4,863, 6,691.50 and 4,726.92

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Solution

The fourth proportional to 4,863, 6,691.50 and 4,726.92 is: 6,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863 : 6,691.50 = 4,726.92 : x
  2. Step 2: Convert to fraction form
    4,863/6,691.50 = 4,726.92/x
  3. Step 3: Cross multiply
    4,863x = 6,691.50 × 4,726.92
  4. Step 4: Simplify right side
    4,863x = 31,630,185.18
  5. Step 5: Solve for x
    x = 31,630,185.18/4,863
  6. Step 6: Final answer
    x = 6,504.25

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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.