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Finding the Fourth Proportional to 6,616.91, 9,926.25 and 3,497.04

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Solution

The fourth proportional to 6,616.91, 9,926.25 and 3,497.04 is: 5,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.91 : 9,926.25 = 3,497.04 : x
  2. Step 2: Convert to fraction form
    6,616.91/9,926.25 = 3,497.04/x
  3. Step 3: Cross multiply
    6,616.91x = 9,926.25 × 3,497.04
  4. Step 4: Simplify right side
    6,616.91x = 34,712,493.30
  5. Step 5: Solve for x
    x = 34,712,493.30/6,616.91
  6. Step 6: Final answer
    x = 5,246.03

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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.