Ireland are still in with a chance of making the World Cup after defeating in-form Scotland by 25 runs in Harare.
Scores level on 210 as Zimbabwe take last Scottish wicket in final over.
Scotland captain Coetzer holds his nerve to maintain Scotland perfect start.
Calum MacLeod hits 157 not out as Scotland open their World Cup qualifying campaign with victory over Afghanistan.
Scotland finish their one-day international tri-series with a defeat by hosts United Arab Emirates in Dubai.
Ireland beat Scotland by six wickets to extend their winning run in the triangular one-day series in Dubai on Tuesday.