Math Problem Statement
Solution
The problem asks to find a number that makes the ratio equivalent to 1:4, with the format .
Solution:
We are given the equivalent ratio and asked to find the unknown number in the ratio .
The ratio means that for every 1 unit in the first part, there are 4 units in the second part. This ratio can be expressed as:
To find , we can use cross-multiplication:
Now, solve for :
Thus, the number is 7. The equivalent ratio is 7:28.
Would you like more details, or have any further questions?
Here are 5 related questions for practice:
- What is the equivalent ratio of when the second term is 20?
- Find the missing number in the ratio .
- If the ratio of is scaled up by 3, what is the new ratio?
- How do you simplify the ratio ?
- What is the relationship between proportions and ratios?
Tip: When working with ratios, cross-multiplication is a quick way to solve for unknowns when you have equivalent ratios.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Cross Multiplication
Formulas
Equivalent Ratio: a:b = c:d
Cross Multiplication: a*d = b*c
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 5-7