Any office, department or agency provided for in this Charter with a name or with powers and duties the same or substantially the same as those of an office, department or agency heretofore existing shall be deemed to be a continuation of such heretofore existing office, department or agency. Any provision in any law, rule, regulation, contract, grant or other document relating to such heretofore existing office, department or agency shall, so far as not inconsistent with the provisions of this Charter, apply to such office, department or agency provided for by this Charter.