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Finding the Fourth Proportional to 6,640, 9,964.04 and 2,743.90

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Solution

The fourth proportional to 6,640, 9,964.04 and 2,743.90 is: 4,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640 : 9,964.04 = 2,743.90 : x
  2. Step 2: Convert to fraction form
    6,640/9,964.04 = 2,743.90/x
  3. Step 3: Cross multiply
    6,640x = 9,964.04 × 2,743.90
  4. Step 4: Simplify right side
    6,640x = 27,340,329.36
  5. Step 5: Solve for x
    x = 27,340,329.36/6,640
  6. Step 6: Final answer
    x = 4,117.52

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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.