Fixing 25fps Footage that turned into slow-motion when exported from camera

Dear all,

I shot some behind-the-scenes work for an ongoing project with the setting of 25fps / 100M / 4K for high-quality video footage. However, when I exported the videos to my laptop and tried to edit them in Premier Pro, it looked like slow motion with blurry movements. I have set my sequence at 25fps so that it matches the video frame rate, but it still has the same issue.

Does anyone know what the reason is behind this and how I can fix it when I edit them in Premiere Pro? I didn't want to speed up the footage to make them normal cause I needed the audio from the footage, and speeding it up would make the voices sound very funny. 

I've shot with the same camera before using the same setting, and this has never happened to me so I'm not sure what is going on.

Thank you.

Karen