If point cap p is 4 sevenths of the distance from cap m to cap n , what ratio does the point cap p partition the directed line segment from cap m to cap n into?

If the full distance from M to N is divided into 7 equal parts, P is 4 parts from M. That leaves 3 parts from P to N, so the ratio MP:PN is 4:3, the ratio of 4 to 3.

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