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Finding the Fourth Proportional to 6,716, 9,268 and 3,731.77

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Solution

The fourth proportional to 6,716, 9,268 and 3,731.77 is: 5,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716 : 9,268 = 3,731.77 : x
  2. Step 2: Convert to fraction form
    6,716/9,268 = 3,731.77/x
  3. Step 3: Cross multiply
    6,716x = 9,268 × 3,731.77
  4. Step 4: Simplify right side
    6,716x = 34,586,044.36
  5. Step 5: Solve for x
    x = 34,586,044.36/6,716
  6. Step 6: Final answer
    x = 5,149.80

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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.