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Finding the Fourth Proportional to 6,098.14, 9,146.99 and 2,585.88

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Solution

The fourth proportional to 6,098.14, 9,146.99 and 2,585.88 is: 3,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.14 : 9,146.99 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    6,098.14/9,146.99 = 2,585.88/x
  3. Step 3: Cross multiply
    6,098.14x = 9,146.99 × 2,585.88
  4. Step 4: Simplify right side
    6,098.14x = 23,653,018.50
  5. Step 5: Solve for x
    x = 23,653,018.50/6,098.14
  6. Step 6: Final answer
    x = 3,878.73

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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.