For battery-powered craft, where there's no appreciable reduction in propellent mass over the course of the flight, this is a direct scaling. For fuel-based craft (which I'm surprised are not more heavily used), the fuel mass falls as it's consumed, such that the effective net mass is somewhat less than 1/2 the total launch fuel load (less fuel mass -> less lift and drag load).
In the extreme case, ballistic missiles consume virtually their entire fuel load early in the flight ("boost phase"). Cruise missiles / drones might fly to a higher altitude and glide to their targets. Even battery-powered drones might jettison their primary battery (retaining a small navigation power source) and glide to targets by first climbing to a high altitude.
Another option is solar-powered (or assisted) drones, which for small payloads (most especially surveillance, though directed weapons / shaped charges would be another option) could achieve long ranges, high loiter times, or both.
Staging?
Those drones, incidentally, have a 6 kg payload capacity and 160 km range (one-way).
But yes, staging or jettisonable batteries might be another option, at an increased complexity cost.