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Finding the Fourth Proportional to 6,519.34, 9,773.74 and 2,620

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Solution

The fourth proportional to 6,519.34, 9,773.74 and 2,620 is: 3,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.34 : 9,773.74 = 2,620 : x
  2. Step 2: Convert to fraction form
    6,519.34/9,773.74 = 2,620/x
  3. Step 3: Cross multiply
    6,519.34x = 9,773.74 × 2,620
  4. Step 4: Simplify right side
    6,519.34x = 25,607,198.80
  5. Step 5: Solve for x
    x = 25,607,198.80/6,519.34
  6. Step 6: Final answer
    x = 3,927.88

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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.