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Finding the Fourth Proportional to 6,651.16, 9,976.70 and 2,751.24

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Solution

The fourth proportional to 6,651.16, 9,976.70 and 2,751.24 is: 4,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.16 : 9,976.70 = 2,751.24 : x
  2. Step 2: Convert to fraction form
    6,651.16/9,976.70 = 2,751.24/x
  3. Step 3: Cross multiply
    6,651.16x = 9,976.70 × 2,751.24
  4. Step 4: Simplify right side
    6,651.16x = 27,448,296.11
  5. Step 5: Solve for x
    x = 27,448,296.11/6,651.16
  6. Step 6: Final answer
    x = 4,126.84

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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.