Using the property
, fill in the blanks substituting proper numbers in the following.
(i) 
(ii) 
(i) Let ![]()
∴ on comparing first two equalities, we get:
5/7 = x/28
Cross multiply and get:
7x = 28 × 5
⇒ x = 4 × 5 = 20
Now, compare the first and third equalities and get:
5/7 = 35/y
Cross multiply and get:
5y = 7 × 35
⇒ y = 7 × 7 = 49
Now, compare the first and fourth equalities and get:
5/7 = z/3.5
Cross multiply and get:
7z = 5 × 3.5
⇒ 7z = 5 × (35/10)
⇒ z = 5 × (5/10)
⇒ z = 25/10 = 2.5
∴ ![]()
(ii) Let ![]()
∴ On comparing first two equalities, we get:
9/14 = 4.5/x
Cross multiply and get:
9x = 14 × 4.5
⇒ x = 14 × 0.5 = 7
Now, compare the first and third equalities and get:
9/14 = y/42
Cross multiply and get:
14y = 9 × 42
⇒ y = 9 × 3 = 27
Now, compare the first and fourth equalities and get:
9/14 = z/3.5
Cross multiply and get:
14z = 9 × 3.5
⇒ z = 9 × (3.5/14)
⇒ z = 9 × (0.25)
⇒ z = 2.25
∴ ![]()
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