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Finding the Fourth Proportional to 6,202.46, 8,566.82 and 4,521.17

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Solution

The fourth proportional to 6,202.46, 8,566.82 and 4,521.17 is: 6,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.46 : 8,566.82 = 4,521.17 : x
  2. Step 2: Convert to fraction form
    6,202.46/8,566.82 = 4,521.17/x
  3. Step 3: Cross multiply
    6,202.46x = 8,566.82 × 4,521.17
  4. Step 4: Simplify right side
    6,202.46x = 38,731,984.14
  5. Step 5: Solve for x
    x = 38,731,984.14/6,202.46
  6. Step 6: Final answer
    x = 6,244.62

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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.