If $A: B = 2: 3$,$B: C = 4: 5$,and $C: D = 6: 7$,then $A: B: C: D$ is

Find two numbers such that their mean proportion is $10$ and their third proportion is $1024$.

The prices of a refrigerator and a television set are in the ratio $5:3$. If the refrigerator costs $Rs. 5500$ more than the television set,then the price of the refrigerator is (in $Rs.$):

The ratio of the present ages of Sita and Gita is $4:3$. If $4$ years ago,the ratio of their ages was $2:1$,the present age of Sita is (in years):

If $2: x :: 5: 7$,then $x$ is equal to

The ratio of ages between $A$ and $B$ is $6: 5$ and the age of each $C$ and $D$ is $\frac{9}{10}$ times that of $B$. The age of $F$ is less than $A$ but greater than $B$. The ratio of ages between $B$ and $E$ is $2: 3$. Also,the age of $A$ is $3 \text{ years}$ less than $E$. What is the ratio of the ages of $A$ and $F$ if all the ages are integers?