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At the center of gravity
Decreases
The load center of a forklift vehicle has little to do with its lifting capacity; this is determined by its structural engineering including the counterweight and pivot point. The lifting capacity of all forklift vehicles is stated on a tag on the vehicle, and is available from the manufacturer, and is also stated in the operation and safety procedures for the specific vehicle. The load center only tells you where you can place the load on the forks.
No
The load should always be kept low whenever the forklift is traveling.
Forklift capacities vary by model. The question is too broad.
Balance depends on center of gravity. When a forklift elevates a load, it changes it's center of gravity and therefore changes the way it's balanced. Think of how balanced a person is when holding a bowling ball at waste level. Then think of how that balance is changed as it's lifted upward towards the shoulders.
Yes
When traveling on a forklift the carried load must be at the highest feasible position travel
Lifting the load moves Cof G forward.
With a forklift, carry the load on the uphill side.
Once the load is off the ground and stable and before moving the load.