Finding the Fourth Proportional to 6,095.04, 9,142.56 and 1,478
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Solution
The fourth proportional to 6,095.04, 9,142.56 and 1,478 is: 2,217
Step by Step Solution
- Step 1: Write the proportion equation
6,095.04 : 9,142.56 = 1,478 : x - Step 2: Convert to fraction form
6,095.04/9,142.56 = 1,478/x - Step 3: Cross multiply
6,095.04x = 9,142.56 × 1,478 - Step 4: Simplify right side
6,095.04x = 13,512,703.68 - Step 5: Solve for x
x = 13,512,703.68/6,095.04 - Step 6: Final answer
x = 2,217
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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.