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Finding the Fourth Proportional to 5,662.68, 8,493.66 and 1,767

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Solution

The fourth proportional to 5,662.68, 8,493.66 and 1,767 is: 2,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.68 : 8,493.66 = 1,767 : x
  2. Step 2: Convert to fraction form
    5,662.68/8,493.66 = 1,767/x
  3. Step 3: Cross multiply
    5,662.68x = 8,493.66 × 1,767
  4. Step 4: Simplify right side
    5,662.68x = 15,008,297.22
  5. Step 5: Solve for x
    x = 15,008,297.22/5,662.68
  6. Step 6: Final answer
    x = 2,650.39

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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.