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Finding the Fourth Proportional to 6,213.36, 8,574.35 and 3,696.69

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Solution

The fourth proportional to 6,213.36, 8,574.35 and 3,696.69 is: 5,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.36 : 8,574.35 = 3,696.69 : x
  2. Step 2: Convert to fraction form
    6,213.36/8,574.35 = 3,696.69/x
  3. Step 3: Cross multiply
    6,213.36x = 8,574.35 × 3,696.69
  4. Step 4: Simplify right side
    6,213.36x = 31,696,695.42
  5. Step 5: Solve for x
    x = 31,696,695.42/6,213.36
  6. Step 6: Final answer
    x = 5,101.38

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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.