Learn Danish: Han blev beskyldt for at snyde.

blev beskyldt is the blive-passive, which is the most natural choice in spoken and everyday Danish for a specific, completed event in the past. The -s passive (beskyldtes) is generally reserved for formal writing, literature, or recurring events.

Why does the Danish sentence use the infinitive at snyde when English uses the -ing form cheating?

In English, prepositions are followed by gerunds (the -ing form). In Danish, a preposition cannot be followed by a present participle. Instead, you must use the infinitive with at. Whenever you want to say preposition + doing something in Danish, it becomes preposition + at + infinitive.

Why is the preposition for used here instead of something that directly means of?

Prepositions rarely translate one-to-one between languages. The Danish verb at beskylde (to accuse or blame) requires the preposition for. It is best to memorize them together as a fixed phrase: at beskylde nogen for noget.

Could I use anklaget instead of beskyldt in this sentence?

You could, but it changes the tone. beskyldt is used for general blame or everyday accusations. anklaget is much more formal and usually implies a legal context, such as being formally charged with a crime by the authorities.