Delete multiple records (create "delete workflow" rules)

Is there a mechanism in the interface for deleting more than one record upon a "delete" command?

For example, I want to delete an Order record, but I want that action to also delete the connected Payment record and some other connected records. Is there a way to make this happen automatically? Right now, when I delete an Order from the system, I have to also delete 4 other records to properly clean up.

Thank you Jeremy. I had searched but not found a relevant thread.

Agreed - that's already a request: