解:(1)X:14=6:28,
28X=14×6,
28X=84,
x=3;
(2)

=

,
0.25x=0.75×3,
0.25x=2.25,
x=9;
(3)

:

=x:

,

x=

×6,

x=

,
x=

;
(4)0.5:0.25=x:6,
0.25x=0.5×6,
0.25x=3,
x=12;
(5)

=

,
0.4x=2×0.08,
0.4x=0.16,
x=0.4;
(6)

:x=4:12,
4x=

12,
4x=4,
x=1.
分析:(1)先根據(jù)比例的性質(zhì)改寫成28X=14×6,再根據(jù)等式的性質(zhì),兩邊同除以28即可;
(2)先根據(jù)比例的性質(zhì)改寫成0.25x=0.75×3,再根據(jù)等式的性質(zhì),兩邊同除以0.25即可;
(3)先根據(jù)比例的性質(zhì)改寫成

x=

×6,再根據(jù)等式的性質(zhì),兩邊同乘3即可;
(4)先根據(jù)比例的性質(zhì)改寫成0.25x=0.5×6,再根據(jù)等式的性質(zhì),兩邊同除以0.25即可;
(5)先根據(jù)比例的性質(zhì)改寫成 0.4x=2×0.08,再根據(jù)等式的性質(zhì),兩邊同除以0.4即可;
(6)先根據(jù)比例的性質(zhì)改寫成4x=

12,再根據(jù)等式的性質(zhì),兩邊同除以4即可.
點(diǎn)評(píng):此題考查了比例的基本性質(zhì),以及解方程時(shí)應(yīng)依據(jù)等式的性質(zhì),同時(shí)注意“=”對(duì)齊.