Finding the Fourth Proportional to 5,614, 8,424.84 and 1,966
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Solution
The fourth proportional to 5,614, 8,424.84 and 1,966 is: 2,950.34
Step by Step Solution
- Step 1: Write the proportion equation
5,614 : 8,424.84 = 1,966 : x - Step 2: Convert to fraction form
5,614/8,424.84 = 1,966/x - Step 3: Cross multiply
5,614x = 8,424.84 × 1,966 - Step 4: Simplify right side
5,614x = 16,563,235.44 - Step 5: Solve for x
x = 16,563,235.44/5,614 - Step 6: Final answer
x = 2,950.34
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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.