To address this problem, I have built engage followers - https://engagefollowers.com .
Be it 10 followers or 10 million followers, engage followers monitors the tweets from our followers and classifies them using Machine Learning based on our chosen topics of interest.
We can then choose to either Auto Engage (by liking the tweet) or receive an Email Digest by the end of the day of all tweets which matched our chosen topics. I believe this positive engagement with those whom we share common interests can create meaningful relationships on Twitter and thereby increasing the engagement for what we do.