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Finding the Fourth Proportional to 6,297.62, 9,449.00 and 4,444.74

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Solution

The fourth proportional to 6,297.62, 9,449.00 and 4,444.74 is: 6,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.62 : 9,449.00 = 4,444.74 : x
  2. Step 2: Convert to fraction form
    6,297.62/9,449.00 = 4,444.74/x
  3. Step 3: Cross multiply
    6,297.62x = 9,449.00 × 4,444.74
  4. Step 4: Simplify right side
    6,297.62x = 41,998,326.04
  5. Step 5: Solve for x
    x = 41,998,326.04/6,297.62
  6. Step 6: Final answer
    x = 6,668.93

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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.