Question

1) x : 9 = 24 : 72 2) 1,6 : x = 2,4 : 4,5​

Answer 1

Ответ:

1)  х = 3

2) х = 3

Пошаговое объяснение:

1) x : 9 = 24 : 72  

х/9 = 1/3

х = 9 * 1 : 3

х = 3

Проверим:  

3 : 9 = 24 : 72

1/3 = 1/3

2) 1,6 : x = 2,4 : 4,5​

1,6/х = 8/15

х = 1,6 * 15 : 8

х = 24 : 8

х = 3

Проверим:  

1,6 : 3 = 2,4 : 4,5

16/10 * 1/3 = 8/15

16/30 = 8/15

8/15 = 8/15

Answer 2

To solve these proportion problems, we can use cross-multiplication. The general rule for solving proportions is:

a : b = c : d

Cross-multiplication: a * d = b * c

Let's solve each proportion step-by-step:

1. x : 9 = 24 : 72

Cross-multiplication: x * 72 = 9 * 24

Now, solve for x:

x = (9 * 24) / 72

x = 216 / 72

x = 3

So, the value of x in the first proportion is 3.

2. 1.6 : x = 2.4 : 4.5

Cross-multiplication: 1.6 * 4.5 = x * 2.4

Now, solve for x:

x = (1.6 * 4.5) / 2.4

x = 7.2 / 2.4

x = 3

So, the value of x in the second proportion is 3.