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Finding the Fourth Proportional to 6,651.76, 9,977.28 and 2,034.76

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Solution

The fourth proportional to 6,651.76, 9,977.28 and 2,034.76 is: 3,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.76 : 9,977.28 = 2,034.76 : x
  2. Step 2: Convert to fraction form
    6,651.76/9,977.28 = 2,034.76/x
  3. Step 3: Cross multiply
    6,651.76x = 9,977.28 × 2,034.76
  4. Step 4: Simplify right side
    6,651.76x = 20,301,370.25
  5. Step 5: Solve for x
    x = 20,301,370.25/6,651.76
  6. Step 6: Final answer
    x = 3,052.03

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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.