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Finding the Fourth Proportional to 6,700.66, 9,246.89 and 3,716.96

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Solution

The fourth proportional to 6,700.66, 9,246.89 and 3,716.96 is: 5,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.66 : 9,246.89 = 3,716.96 : x
  2. Step 2: Convert to fraction form
    6,700.66/9,246.89 = 3,716.96/x
  3. Step 3: Cross multiply
    6,700.66x = 9,246.89 × 3,716.96
  4. Step 4: Simplify right side
    6,700.66x = 34,370,283.31
  5. Step 5: Solve for x
    x = 34,370,283.31/6,700.66
  6. Step 6: Final answer
    x = 5,129.39

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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.