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Finding the Fourth Proportional to 6,484.82, 9,726.82 and 3,195

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Solution

The fourth proportional to 6,484.82, 9,726.82 and 3,195 is: 4,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.82 : 9,726.82 = 3,195 : x
  2. Step 2: Convert to fraction form
    6,484.82/9,726.82 = 3,195/x
  3. Step 3: Cross multiply
    6,484.82x = 9,726.82 × 3,195
  4. Step 4: Simplify right side
    6,484.82x = 31,077,181.91
  5. Step 5: Solve for x
    x = 31,077,181.91/6,484.82
  6. Step 6: Final answer
    x = 4,792.30

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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.