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Finding the Fourth Proportional to 8,450.25, 11,661.13 and 4,673.62

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Solution

The fourth proportional to 8,450.25, 11,661.13 and 4,673.62 is: 6,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.25 : 11,661.13 = 4,673.62 : x
  2. Step 2: Convert to fraction form
    8,450.25/11,661.13 = 4,673.62/x
  3. Step 3: Cross multiply
    8,450.25x = 11,661.13 × 4,673.62
  4. Step 4: Simplify right side
    8,450.25x = 54,499,690.39
  5. Step 5: Solve for x
    x = 54,499,690.39/8,450.25
  6. Step 6: Final answer
    x = 6,449.48

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Half scale
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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.