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Finding the Fourth Proportional to 6,306.66, 9,446.21 and 5,198.58

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Solution

The fourth proportional to 6,306.66, 9,446.21 and 5,198.58 is: 7,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.66 : 9,446.21 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    6,306.66/9,446.21 = 5,198.58/x
  3. Step 3: Cross multiply
    6,306.66x = 9,446.21 × 5,198.58
  4. Step 4: Simplify right side
    6,306.66x = 49,106,878.38
  5. Step 5: Solve for x
    x = 49,106,878.38/6,306.66
  6. Step 6: Final answer
    x = 7,786.51

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1.5x scale

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.