The provisions of this act shall apply to any city of the second class having a population of more than 4,800 and less than 5,500 operating under the manager form of government and located in a county having a population of more than 8,000 and less than 15,000. Whenever the title to any real property, upon which taxes may be due and delinquent, may be vested in any such city, then the state board of tax appeals is hereby authorized upon application of such city, and for good reasons shown, to compromise, abate or cancel all such taxes or any part thereof.