On a globe of radius 6400km,find the length in cm of the parallel latitude of 67degree north

at latitude θ, the radius of a circle of latitude is r = 6400 cosθ

the circumference is C = 2πr, so since 1km = 10^5 cm,
C = 2π * 6400 cos67° * 10^5 = ____ cm

I have a hunch that Success left out a scale ratio.