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Finding the Fourth Proportional to 6,508.59, 9,764.77 and 2,348.49

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Solution

The fourth proportional to 6,508.59, 9,764.77 and 2,348.49 is: 3,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.59 : 9,764.77 = 2,348.49 : x
  2. Step 2: Convert to fraction form
    6,508.59/9,764.77 = 2,348.49/x
  3. Step 3: Cross multiply
    6,508.59x = 9,764.77 × 2,348.49
  4. Step 4: Simplify right side
    6,508.59x = 22,932,464.70
  5. Step 5: Solve for x
    x = 22,932,464.70/6,508.59
  6. Step 6: Final answer
    x = 3,523.42

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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.