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4b + 19         76

______  =  _____    cross-multiply

6b + 11        100

100(4b + 19)  = 76(6b + 11)     simplify

400b + 1900  = 456b + 836       subtract 400b, 836 from both sides

56b  = 1064      divide both sides by 56

b  = 19

Check

4(19) + 19             95           19

_________   =   _____  =   ___  =   0.76

6(19) + 11            125          25

4b+19 / 6b+11 = 76/100

$\frac{4b+19}{6b+11} = \frac{76}{100}$

$400b+1900=456b+836$ by cross-multiplication

$1064=56b, b = 19$

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