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Finding the Fourth Proportional to 6,700.99, 9,247.86 and 3,716.80

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Solution

The fourth proportional to 6,700.99, 9,247.86 and 3,716.80 is: 5,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.99 : 9,247.86 = 3,716.80 : x
  2. Step 2: Convert to fraction form
    6,700.99/9,247.86 = 3,716.80/x
  3. Step 3: Cross multiply
    6,700.99x = 9,247.86 × 3,716.80
  4. Step 4: Simplify right side
    6,700.99x = 34,372,446.05
  5. Step 5: Solve for x
    x = 34,372,446.05/6,700.99
  6. Step 6: Final answer
    x = 5,129.46

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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.