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solve for x...1/1000x:1500 = 7:2000

just took a basic math test, this was one of the "solve for x" questions.   1/1000x : 1500 = 7:2000

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Brad M. | Summer Online Finance Specialist: WACC NPV DCF TVM YTMSummer Online Finance Specialist: WACC ...
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Hey Tom -- "re-scaling" may make things look nicer ... to make the 1500 look like 2000, upscale by 1/3 ... (1/1000)x becomes (4/3000)x =7 ... x= 21k/4 ... cut in half twice ... 10.5k ... 5250 <== Regards :) 
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
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I wonder if 1/1000x shall be read as 1/1000*x or 1/(1000x). I would assume the former.
 
1/1000*x:1500=7:2000
1/1000*x=7:2000*1500
x/1000=7*15/20=7*3/4=21/4
x=21/4*1000=21*250=5250
 
If It was 1/(1000x), the answer would be the inverse, that is x=1/5250;