Finding the Fourth Proportional to 7,800, 11,700 and 2,328
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Solution
The fourth proportional to 7,800, 11,700 and 2,328 is: 3,492
Step by Step Solution
- Step 1: Write the proportion equation
7,800 : 11,700 = 2,328 : x - Step 2: Convert to fraction form
7,800/11,700 = 2,328/x - Step 3: Cross multiply
7,800x = 11,700 × 2,328 - Step 4: Simplify right side
7,800x = 27,237,600 - Step 5: Solve for x
x = 27,237,600/7,800 - Step 6: Final answer
x = 3,492
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.