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Finding the Fourth Proportional to 6,700.85, 9,247.43 and 3,716.81

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Solution

The fourth proportional to 6,700.85, 9,247.43 and 3,716.81 is: 5,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.85 : 9,247.43 = 3,716.81 : x
  2. Step 2: Convert to fraction form
    6,700.85/9,247.43 = 3,716.81/x
  3. Step 3: Cross multiply
    6,700.85x = 9,247.43 × 3,716.81
  4. Step 4: Simplify right side
    6,700.85x = 34,370,938.03
  5. Step 5: Solve for x
    x = 34,370,938.03/6,700.85
  6. Step 6: Final answer
    x = 5,129.34

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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.