The product of four consecutive natural numbers is 3024. Find the sum of these numbers.

Let’s find the given numbers by the brute force method. To do this, we find a natural number, which, when raised to the fourth power, gives a number close to 3024. Let’s start with the number 10. Since 104 = 10000 and 10000> 3024, consider the number 9. Since 94 = 6561 and 6561> 3024, consider the number 8. Since 84 = 4096 and 4096> 3024, consider the number 7. Since 74 = 2401 and 2401 <3024, we will select the desired numbers starting from 7. Since 7 * 8 * 9 * 10 = 5040 and 5040> 3024, we will select the required numbers starting with 6. Since 6 * 7 * 8 * 9 = 3024, then the number 6, 7, 8 and 9 are the required ones. Their sum is equal to: 6 + 7 + 8 + 9 = 30.
Answer: The sum of these numbers is 30.