I have a 20" tv with a yoke that measures the same ohms as a k4600 and a 19" tube
You should also measure the inductance to be sure.
I don't know it the necks are the same though
You should find the schematics of the two screens to be sure they match, because even if the connectors physically match, you can have some difference for pinouts.
Other thing :
you can swap yokes as much as you like,you may need to adjust the convergence rings and/or add convergence strips to get perfect geometry
That's not so easy. Yokes are designed to match tubes with different deflection angles. Sure, in many cases, you can swap yokes that are very close, but even with adjustments, you won't always get a nice picture.
For small tubes (14 to 21") it's generally OK, but for 25-29" size, you have more restrictions.