A full reading for Tiger × Scorpio meeting Rat × Virgo is on the way. In the meantime, the score above is computed from the canonical element matrix and sign-cycle distance, and the profiles below cover each side individually.
The Tiger/Scorpio is one of those hopelessly active and accomplished signs that is always striving for more and greater kingdoms to conquer, preferably by application of overwhelming force in heavy doses. After all, what good is conquest if you can't abuse the conquered populace? But watch out -- the Scorpion in you has a tendency to apply these brutal scorched earth tactics to your own heart and your own mind.
Both the blessing and the bane of members of this introverted DoubleSign is the capacity for complete disregard of all forms of outside impetus. Rat/Virgos have a private clock that tells you your own sweet time in which to do things, and you stick to it, regardless of the demanding voice, the wheedling phone call, or the looming deadline. Such independence can naturally lead to an unhealthy isolation in matters of the heart, and you should remember to make an effort now and then to ditch your Virgo half, have a night on the town and rub some elbows with the fast crowd once in a while.