A person who deposited a certain amount of money into an account wants to receive continuous payments at a rate of $K for the first year, increasing by $K each year. Thus $2K in the second year, $3K in the third year, and so on, up to a rate of $25K in the 25th year. A perpetuity pays continuously at a rate of $1 for the first year, at a rate of $2 for the second year, $3 for the third year, and so on, forever. The present value of the perpetuity is twice the present value of the annuity. The force of interest is 6%. Calculate K.