I ran the ubuntu updater today and now everything seems to be corrected. Both Kate and Virtualbox seem to be at the same dpi as the rest of the system.
The following are the log updates:
Start-Date: 2022-11-24 12:33:53
Commandline: aptdaemon role='role-commit-packages' sender=':1.106'
Upgrade: openssh-client:amd64 (1:9.0p1-1ubuntu7, 1:9.0p1-1ubuntu7.1), xserver-xorg-core:amd64 (2:21.1.4-2ubuntu1, 2:21.1.4-2ubuntu1.1), imagemagick:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1), libexpat1:amd64 (2.4.8-2, 2.4.8-2ubuntu0.22.10.1), libexpat1:i386 (2.4.8-2, 2.4.8-2ubuntu0.22.10.1), firmware-sof-signed:amd64 (2.1.1-1ubuntu1, 2.1.1-1ubuntu1.1), libmagickcore-6.q16-6-extra:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1), xserver-xorg-legacy:amd64 (2:21.1.4-2ubuntu1, 2:21.1.4-2ubuntu1.1), xserver-common:amd64 (2:21.1.4-2ubuntu1, 2:21.1.4-2ubuntu1.1), libmagickwand-6.q16-6:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1), imagemagick-6.q16:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1), libmagickcore-6.q16-6:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1), imagemagick-6-common:amd64 (8:6.9.11.60+dfsg-1.3build3, 8:6.9.11.60+dfsg-1.3ubuntu0.22.10.1)
End-Date: 2022-11-24 12:33:55