Math

Question Solve the proportion 6.779=4.63x\frac{6.77}{9}=\frac{4.63}{x} and round the solution to four significant digits.

Studdy Solution

STEP 1

Assumptions1. We are given a proportion 6.779=4.63x\frac{6.77}{9}=\frac{4.63}{x} . We are asked to solve for xx
3. The solution should be rounded to four significant digits if necessary

STEP 2

We can solve for xx by cross-multiplying the proportion. This means we multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the numerator of the second fraction multiplied by the denominator of the first fraction.
6.77×x=9×4.636.77 \times x =9 \times4.63

STEP 3

Now, we simplify the right side of the equation by multiplying 99 and .63.63.
6.77×x=41.676.77 \times x =41.67

STEP 4

To isolate xx, we divide both sides of the equation by 6.776.77.
x=41.676.77x = \frac{41.67}{6.77}

STEP 5

Now, we calculate the value of xx by dividing 41.6741.67 by .77.77.
x=.152x =.152

STEP 6

Finally, we round the value of xx to four significant digits.
x=6.1526.1520x =6.152 \approx6.1520So, the solution to the proportion is x6.1520x \approx6.1520.

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