Finding the Fourth Proportional to 9,803.50, 14,705.25 and 2,878
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Solution
The fourth proportional to 9,803.50, 14,705.25 and 2,878 is: 4,317
Step by Step Solution
- Step 1: Write the proportion equation
9,803.50 : 14,705.25 = 2,878 : x - Step 2: Convert to fraction form
9,803.50/14,705.25 = 2,878/x - Step 3: Cross multiply
9,803.50x = 14,705.25 × 2,878 - Step 4: Simplify right side
9,803.50x = 42,321,709.50 - Step 5: Solve for x
x = 42,321,709.50/9,803.50 - Step 6: Final answer
x = 4,317
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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.