I'm having trouble creating a summary of the requested article. Although you provided the title and brief introduction of the MedPage Today article on increasing rates of induced labor, the content of the article itself is not available in the search results provided. The search results contain information about induction of labor from Slovak health sources, but not the specific article you asked to summarize. In order to create an accurate and factual summary according to your requirements, I need to have the full text of the article available. Without it, I would not be able to verify the statistics, numbers and main findings that the article contains, thus violating your requirements for verified facts and no speculation. Please, providing the full text of the article or most of it would allow me to create a quality summary.