(0.2x15) : (0.8x7.5) ::_________:(0.25x56)
(0.2x15) : (0.8x7.5) ::_________:(0.25x56), I assume your :: means "=" ?
(0.2x15) / (0.8x7.5) = X/(0.25x56)
X = (0.25x56)(0.2x15) / (0.8x7.5)
X = 7
(0.0625x112)
To solve this analogy, we need to understand the pattern and calculate the missing value.
Let's break down the given analogy step by step:
(0.2x15) : (0.8x7.5) :: _________ : (0.25x56)
Step 1: Calculate the value on the left side of the analogy.
The left side of the analogy is (0.2x15) : (0.8x7.5).
Calculate the left side of the analogy:
(0.2 x 15) = 3
(0.8 x 7.5) = 6
Therefore, the left side of the analogy can be simplified as: 3:6.
Step 2: Figure out the relationship between the left and right side of the analogy.
To identify the relationship between the left and right side of the analogy, we divide the left side by 2. The right side should follow the same pattern.
3 divided by 2 is 1.5.
So, the relationship between the left and right side of the analogy is 1:1.5.
Step 3: Calculate the missing value on the right side of the analogy.
The right side of the analogy is _________ : (0.25x56).
To find the missing value, we multiply 1.5 by 56 multiplied by 0.25.
(1.5) x (56) x (0.25) = 21
Therefore, the missing value on the right side of the analogy is 21.
In conclusion, the completed analogy is:
(0.2x15) : (0.8x7.5) :: 3:6 :: _________ : (0.25x56) :: 1.5:21.