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Finding the Fourth Proportional to 6,505.78, 9,764.20 and 2,559.79

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Solution

The fourth proportional to 6,505.78, 9,764.20 and 2,559.79 is: 3,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.78 : 9,764.20 = 2,559.79 : x
  2. Step 2: Convert to fraction form
    6,505.78/9,764.20 = 2,559.79/x
  3. Step 3: Cross multiply
    6,505.78x = 9,764.20 × 2,559.79
  4. Step 4: Simplify right side
    6,505.78x = 24,994,329.99
  5. Step 5: Solve for x
    x = 24,994,329.99/6,505.78
  6. Step 6: Final answer
    x = 3,841.87

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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.