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Finding the Fourth Proportional to 6,776.57, 10,162.77 and 2,393

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Solution

The fourth proportional to 6,776.57, 10,162.77 and 2,393 is: 3,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.57 : 10,162.77 = 2,393 : x
  2. Step 2: Convert to fraction form
    6,776.57/10,162.77 = 2,393/x
  3. Step 3: Cross multiply
    6,776.57x = 10,162.77 × 2,393
  4. Step 4: Simplify right side
    6,776.57x = 24,319,508.61
  5. Step 5: Solve for x
    x = 24,319,508.61/6,776.57
  6. Step 6: Final answer
    x = 3,588.76

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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.