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Finding the Fourth Proportional to 6,297.77, 8,691.16 and 3,609.42

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Solution

The fourth proportional to 6,297.77, 8,691.16 and 3,609.42 is: 4,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.77 : 8,691.16 = 3,609.42 : x
  2. Step 2: Convert to fraction form
    6,297.77/8,691.16 = 3,609.42/x
  3. Step 3: Cross multiply
    6,297.77x = 8,691.16 × 3,609.42
  4. Step 4: Simplify right side
    6,297.77x = 31,370,046.73
  5. Step 5: Solve for x
    x = 31,370,046.73/6,297.77
  6. Step 6: Final answer
    x = 4,981.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.