Finding the Fourth Proportional to 7,354, 11,031 and 1,882
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Solution
The fourth proportional to 7,354, 11,031 and 1,882 is: 2,823
Step by Step Solution
- Step 1: Write the proportion equation
7,354 : 11,031 = 1,882 : x - Step 2: Convert to fraction form
7,354/11,031 = 1,882/x - Step 3: Cross multiply
7,354x = 11,031 × 1,882 - Step 4: Simplify right side
7,354x = 20,760,342 - Step 5: Solve for x
x = 20,760,342/7,354 - Step 6: Final answer
x = 2,823
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.