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Use the formula for the $n$-th term of an arithmetic sequence:
Question: A scientist is designing a governance model for a futuristic city and proposes that the number of decision nodes and feedback loops should be in the ratio $4:11$. If there are 44 feedback loops, how many decision nodes are needed?
The ratio of decision nodes to feedback loops is $4:11$. Since there are 44 feedback loops, we find the value of one part:

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