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Finding the Fourth Proportional to 6,508.72, 9,768.54 and 2,813.77

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Solution

The fourth proportional to 6,508.72, 9,768.54 and 2,813.77 is: 4,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.72 : 9,768.54 = 2,813.77 : x
  2. Step 2: Convert to fraction form
    6,508.72/9,768.54 = 2,813.77/x
  3. Step 3: Cross multiply
    6,508.72x = 9,768.54 × 2,813.77
  4. Step 4: Simplify right side
    6,508.72x = 27,486,424.80
  5. Step 5: Solve for x
    x = 27,486,424.80/6,508.72
  6. Step 6: Final answer
    x = 4,223.02

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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.