Answer:
3, 2, 1, 6
Step-by-step explanation:
Let's do some algebra lol
Let's call coefficient for Cu(NO3)2 "a"
Let's call coefficient for K3PO4 "b"
Let's call coefficient for Cu3(PO4)2 "c"
Let's call coefficient for KNO3 "d"
Cu3(PO4)2 has 3x as many moles of Cu compared to Cu(NO3)2, so we know that 3c = a
Cu(NO3)2 has 2x as many moles of NO3 compared to KNO3, so we know that 2a = d
Repeat this process for K and PO4 --> you get equations 3b = d and 2c = b respectively
2a = d = 3b = d so 2a = 3b, let's see if a = 3, b = 2 works
plug a and b into other two equations --> c = 1, d = 6
these are all whole numbers so it works! (if they're not whole numbers than multiply every coefficient by their LCM to make it whole)
so your coefficients for each of them are 3, 2, 1, 6