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Finding the Fourth Proportional to 6,997.66, 10,496.08 and 3,100.75

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Solution

The fourth proportional to 6,997.66, 10,496.08 and 3,100.75 is: 4,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.66 : 10,496.08 = 3,100.75 : x
  2. Step 2: Convert to fraction form
    6,997.66/10,496.08 = 3,100.75/x
  3. Step 3: Cross multiply
    6,997.66x = 10,496.08 × 3,100.75
  4. Step 4: Simplify right side
    6,997.66x = 32,545,720.06
  5. Step 5: Solve for x
    x = 32,545,720.06/6,997.66
  6. Step 6: Final answer
    x = 4,650.94

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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.