A triangle has altitude increasing at 3 cm/min3 \ \textrm{cm}/\textrm{min} while its area is increasing at 4 cm2/min4\ \textrm{cm}^2/\textrm{min}. At what rate (in  cm/min\ \textrm{cm}/\textrm{min}) is the base of the triangle changing when the altitude is 2 cm2 \ \textrm{cm} and the area is 6 cm26 \ \textrm{cm}^2?

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