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Finding the Fourth Proportional to 6,656.40, 9,976.60 and 2,758.80

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Solution

The fourth proportional to 6,656.40, 9,976.60 and 2,758.80 is: 4,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.40 : 9,976.60 = 2,758.80 : x
  2. Step 2: Convert to fraction form
    6,656.40/9,976.60 = 2,758.80/x
  3. Step 3: Cross multiply
    6,656.40x = 9,976.60 × 2,758.80
  4. Step 4: Simplify right side
    6,656.40x = 27,523,444.08
  5. Step 5: Solve for x
    x = 27,523,444.08/6,656.40
  6. Step 6: Final answer
    x = 4,134.88

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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.