The long-time coherent integration (CI) technique can enhance the detection performance of radar for hypersonic target significantly. Conventional long time CI algorithms only take into account of the across range unit (ARU) without considering the scale effect. In fact, as the increase of target speed and time-bandwidth product of the sent signal, the scale effect may occur in the echo signal, affecting the pulse compression (PC) and CI performance. To eliminate the scale effect within the long time CI period, this paper introduces an effective method, namely the Scaled Radon Fourier transform (SCRFT). The SCRFT could obtain the energy accumulation for both the intra- and inter-pulse. In comparison with the conventional long time CI methods, the SCRFT can obtain better CI performance. This paper mainly introduces four equivalent implementation forms for the SCRFT and also makes some discussions about the proposed method. Eventually, numerical experiments are provided to evaluate the efficacy of the presented method.