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Finding the Fourth Proportional to 6,297.80, 9,493.87 and 5,874.92

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Solution

The fourth proportional to 6,297.80, 9,493.87 and 5,874.92 is: 8,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.80 : 9,493.87 = 5,874.92 : x
  2. Step 2: Convert to fraction form
    6,297.80/9,493.87 = 5,874.92/x
  3. Step 3: Cross multiply
    6,297.80x = 9,493.87 × 5,874.92
  4. Step 4: Simplify right side
    6,297.80x = 55,775,726.74
  5. Step 5: Solve for x
    x = 55,775,726.74/6,297.80
  6. Step 6: Final answer
    x = 8,856.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.