A 1:300 scale model is constructed to study the discharge-depth relationship in a river reach with Manning's coefficient n = 0.031. If the model discharges 52 L/sec and has Manning's coefficient n = 0.033, what is an adequate vertical scale ratio and the corresponding flow rate for the prototype? (Assume the channel has a large width-to-depth ratio, and the hydraulic radius is roughly equal to the water depth.)