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Finding the Fourth Proportional to 4,649.66, 6,416.31 and 2,553.62

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Solution

The fourth proportional to 4,649.66, 6,416.31 and 2,553.62 is: 3,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.66 : 6,416.31 = 2,553.62 : x
  2. Step 2: Convert to fraction form
    4,649.66/6,416.31 = 2,553.62/x
  3. Step 3: Cross multiply
    4,649.66x = 6,416.31 × 2,553.62
  4. Step 4: Simplify right side
    4,649.66x = 16,384,817.54
  5. Step 5: Solve for x
    x = 16,384,817.54/4,649.66
  6. Step 6: Final answer
    x = 3,523.87

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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.