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Finding the Fourth Proportional to 6,065.46, 9,098.46 and 2,116.62

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Solution

The fourth proportional to 6,065.46, 9,098.46 and 2,116.62 is: 3,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.46 : 9,098.46 = 2,116.62 : x
  2. Step 2: Convert to fraction form
    6,065.46/9,098.46 = 2,116.62/x
  3. Step 3: Cross multiply
    6,065.46x = 9,098.46 × 2,116.62
  4. Step 4: Simplify right side
    6,065.46x = 19,257,982.41
  5. Step 5: Solve for x
    x = 19,257,982.41/6,065.46
  6. Step 6: Final answer
    x = 3,175.02

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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.