Write a ratio equal to 7 : 9 in which antecedent is 63.

Answer

To solve the problem of finding a ratio equal to 7:9 with an antecedent of 63, we can follow these steps:

### Step 1: Understand the Ratio
We are given the ratio 7:9. In this ratio, the first term (7) is called the antecedent, and the second term (9) is called the consequent.

### Step 2: Set Up the Equation
We need to find a ratio where the antecedent is 63. We can represent this ratio as:
\[ \frac{63}{b} = \frac{7}{9} \]
where \( b \) is the unknown consequent we need to find.

### Step 3: Cross-Multiply
To solve for \( b \), we will cross-multiply:
\[ 63 \times 9 = 7 \times b \]
This simplifies to:
\[ 567 = 7b \]

### Step 4: Solve for \( b \)
Now, we will isolate \( b \) by dividing both sides of the equation by 7:
\[ b = \frac{567}{7} \]

### Step 5: Calculate \( b \)
Now, we perform the division:
\[ b = 81 \]

### Step 6: Write the Final Ratio
Now that we have both terms of the ratio, we can write the final ratio:
\[ 63 : 81 \]

### Conclusion
Thus, the ratio equal to 7:9 with an antecedent of 63 is:
\[ 63 : 81 \]

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