# Legendary Four Circles

Geometry Level 5

Circles $$k_1, k_2,$$ and $$k_3$$ are tangent pairwise, and each is tangent to a line $$l$$. A fourth circle $$k$$ is tangent to $$k_1, k_2, k_3$$, so that $$k$$ and $$l$$ do not intersect. Find the distance $$d$$ from the center of $$k$$ to $$l$$ if the radius of $$k$$ equals 1.

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