Finding the Fourth Proportional to 6,564, 9,846 and 1,700
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Solution
The fourth proportional to 6,564, 9,846 and 1,700 is: 2,550
Step by Step Solution
- Step 1: Write the proportion equation
6,564 : 9,846 = 1,700 : x - Step 2: Convert to fraction form
6,564/9,846 = 1,700/x - Step 3: Cross multiply
6,564x = 9,846 × 1,700 - Step 4: Simplify right side
6,564x = 16,738,200 - Step 5: Solve for x
x = 16,738,200/6,564 - Step 6: Final answer
x = 2,550
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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.