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Finding the Fourth Proportional to 6,646.56, 9,172.64 and 3,662.62

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Solution

The fourth proportional to 6,646.56, 9,172.64 and 3,662.62 is: 5,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.56 : 9,172.64 = 3,662.62 : x
  2. Step 2: Convert to fraction form
    6,646.56/9,172.64 = 3,662.62/x
  3. Step 3: Cross multiply
    6,646.56x = 9,172.64 × 3,662.62
  4. Step 4: Simplify right side
    6,646.56x = 33,595,880.94
  5. Step 5: Solve for x
    x = 33,595,880.94/6,646.56
  6. Step 6: Final answer
    x = 5,054.63

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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.