Any way to scale down a particle system as the object that is spawned?

So, I have a blood particle effect, which only looks good when scaled down. I can’t just make the particle size smaller, as I am using velocity cone to make this effect. If I made the particles smaller, it would then look ridiculous as it would fan out too much. I’ve learned that it looks great when shrunk:

However, it looks awful at default size [which is the size the object is spawned at]:

Any ideas? Thanks in advance!