To outweigh is to be heavier or more important than something (or someone). A preschooler's needs might outweigh those of his uncle, even if the uncle does outweigh him by 200 pounds.

Your Great Dane definitely outweighs your kitten, just like your car outweighs your bicycle and you outweigh the ant you just accidentally stepped on. If someone says "the benefits outweigh the risks," they mean that what can be gained is much more significant that what might be lost or risked: "I think you should apply for that scholarship; the benefits really outweigh the risks."

Definitions of outweigh
  1. verb
    weigh more heavily
    “these considerations outweigh our wishes”
    synonyms: outbalance, overbalance, preponderate
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    type of:
    dominate, predominate, prevail, reign, rule
    be larger in number, quantity, power, status or importance
  2. verb
    be heavier than
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    type of:
    exceed, outdo, outgo, outmatch, outperform, outstrip, surmount, surpass
    be or do something to a greater degree
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