The
GZ Guide 10 recharger holds 4xAA rechargeable batteries and the NiMH AA batteries I have in mine are 2000 mAh each for a total of 8000 mAh; the spec sheet shows four 2300 mAh batteries for 9200 mAh total. The Mophie Powerstation holds 6000 mAh.
You can't add up mAh and compare like that. Or you can, but only if the voltage is the same.
Let's say you have those nice 2000mAh AA at 1.5 volts, (it's slightly below 1.5v, but it doesn't matter). Put two of those in your GPS, and now you have a two cell (two AA's) battery pack, rated at 3 volts. But that 3 volt package still holds 2000 mAh -- NOT 4000. Same mAh, twice the energy content, because the voltage is doubled.
I guess the batteries inside the Morphie powerstation is about 3.7 volts (that's fairly typical for lithium based rechargeable batteries). That's roughly the energy content of somewhere between 6 and 9 of your 2000 mAh AA's at 1.5 volt.