If 4:x = 12:9, find x.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Study for the 7th Grade Math Test. Prepare with quizzes, flashcards, and detailed explanations for each question. Stay ready for your exam!

Multiple Choice

If 4:x = 12:9, find x.

Explanation:
Think of proportions as two fractions that describe the same relationship. When a ratio matches another, you can simplify one side to see the match, or cross-multiply to solve. First, simplify the right-hand ratio: 12:9 reduces to 4:3. So the proportion 4:x = 12:9 becomes 4:x = 4:3. Since the first terms are the same (both 4), the second term must be 3, so x = 3. If you prefer cross-multiplication: 4/x = 12/9, and 12/9 simplifies to 4/3, giving 4/x = 4/3. Cross-multiplying gives 4·3 = x·4, so 12 = 4x, hence x = 3.

Think of proportions as two fractions that describe the same relationship. When a ratio matches another, you can simplify one side to see the match, or cross-multiply to solve.

First, simplify the right-hand ratio: 12:9 reduces to 4:3. So the proportion 4:x = 12:9 becomes 4:x = 4:3. Since the first terms are the same (both 4), the second term must be 3, so x = 3.

If you prefer cross-multiplication: 4/x = 12/9, and 12/9 simplifies to 4/3, giving 4/x = 4/3. Cross-multiplying gives 4·3 = x·4, so 12 = 4x, hence x = 3.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy