Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of \((\sqrt[4]{2} +\frac{1}{\sqrt[4]{3}})^n\) , in the increasing powers of \(\frac{1}{\sqrt[4]{3}}\) be \(\sqrt[4]{6}\) : 1. If the sixth term from the beginning is \(\frac{\alpha}{\sqrt[4]{3}}\) , then a is equal to ______.
