Terry >>I believe the resistor is used to put the fan motor on slow speed, If it is open circuit the slow speed will not work, the motor will stop.>>>
Yes, my understanding too. If you bypass the busted resistor with a wire, the fan should run at full speed.
6v fans typically draw ~8 amps or ~50watts at full tilt.
To cut the power in half you'd need a ~1 ohm resistor with a ~25 watt heat dissipation rating. Like an ignition resistor, they can get quite hot.