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Finding the Fourth Proportional to 6,297.24, 8,690.94 and 3,609.42

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Solution

The fourth proportional to 6,297.24, 8,690.94 and 3,609.42 is: 4,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.24 : 8,690.94 = 3,609.42 : x
  2. Step 2: Convert to fraction form
    6,297.24/8,690.94 = 3,609.42/x
  3. Step 3: Cross multiply
    6,297.24x = 8,690.94 × 3,609.42
  4. Step 4: Simplify right side
    6,297.24x = 31,369,252.65
  5. Step 5: Solve for x
    x = 31,369,252.65/6,297.24
  6. Step 6: Final answer
    x = 4,981.43

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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.