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I have created form with axMapControl and comboBox with values of possible scales (e.g. 1:1 000 000, 1: 500 000, etc).

How can I change current map scale programmaticaly by using value from selectedItem taken from Combobox?

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You can set IMap.MapScale to set the current map scale.

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Try this:

IMap _map = ArcMap.Document.FocusMap;
_map.MapScale = Your_Value;

For more information see this : IMap interface and IMap.MapScale Property

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I had a problem in obtaining map scales and I solved it in this answer to How to get a list of map scales programmatically in ArcMap?.

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