a survey showed that 3 out of 7 voters would vote in an election. based on this survey, how many people would vote in a city with 25,000 people?

To determine how many people would vote in a city with 25,000 people, we can use proportions.

Let's set up the proportion:

\frac{{\text{{Number of people voting}}}}{{\text{{Total number of people}}}} = \frac{{\text{{Number of voters in the survey}}}}{{\text{{Total number of voters in the survey}}}}

Plugging in the known values, we have:

\frac{{\text{{Number of people voting}}}}{{25,000}} = \frac{3}{7}

To solve for the number of people voting, we can cross-multiply:

7 \times \text{{Number of people voting}} = 3 \times 25,000

7 \times \text{{Number of people voting}} = 75,000

Dividing both sides by 7, we get:

\text{{Number of people voting}} = \frac{75,000}{7}

Simplifying, we find:

\text{{Number of people voting}} \approx 10,714.29

Rounding to the nearest whole number, we can conclude that approximately 10,714 people would vote in a city with 25,000 people.

Answer: \boxed{10,714} people