I have a source bottle that is $32$ oz. at $10\%$ concentration.
Customer support said I need $1.5$ ounce per $10$ gallons for the final product? What is this final product concentration? How do I figure that out?
How will I dilute future batches of different final product size (1 gallon, 2 gallon, etc.) to match this final product concentration?
Welcome to Mathematics Stack Exchange.
To figure out the volume ratio, convert gallons to ounces.
There are $128$ ounces in a gallon, so $1280$ in $10$.
Therefore, the final product concentration is $\dfrac {1.5}{1280}\times 10\%\approx0.012\%.$
If you need $ 1.5$ ounce for $10$ gallons, you need $0.15$ ounce per $1$ gallon.