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Finding the Fourth Proportional to 6,410.58, 9,617.08 and 2,029.14

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Solution

The fourth proportional to 6,410.58, 9,617.08 and 2,029.14 is: 3,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.58 : 9,617.08 = 2,029.14 : x
  2. Step 2: Convert to fraction form
    6,410.58/9,617.08 = 2,029.14/x
  3. Step 3: Cross multiply
    6,410.58x = 9,617.08 × 2,029.14
  4. Step 4: Simplify right side
    6,410.58x = 19,514,401.71
  5. Step 5: Solve for x
    x = 19,514,401.71/6,410.58
  6. Step 6: Final answer
    x = 3,044.09

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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.