Finding the Fourth Proportional to 6,966, 10,449 and 2,349
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Solution
The fourth proportional to 6,966, 10,449 and 2,349 is: 3,523.50
Step by Step Solution
- Step 1: Write the proportion equation
6,966 : 10,449 = 2,349 : x - Step 2: Convert to fraction form
6,966/10,449 = 2,349/x - Step 3: Cross multiply
6,966x = 10,449 × 2,349 - Step 4: Simplify right side
6,966x = 24,544,701 - Step 5: Solve for x
x = 24,544,701/6,966 - Step 6: Final answer
x = 3,523.50
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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.