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Finding the Fourth Proportional to 6,626.91, 9,940.77 and 2,730

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Solution

The fourth proportional to 6,626.91, 9,940.77 and 2,730 is: 4,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.91 : 9,940.77 = 2,730 : x
  2. Step 2: Convert to fraction form
    6,626.91/9,940.77 = 2,730/x
  3. Step 3: Cross multiply
    6,626.91x = 9,940.77 × 2,730
  4. Step 4: Simplify right side
    6,626.91x = 27,138,302.10
  5. Step 5: Solve for x
    x = 27,138,302.10/6,626.91
  6. Step 6: Final answer
    x = 4,095.17

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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.