Finding the Fourth Proportional to 6.54, 9.77 and 6
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Solution
The fourth proportional to 6.54, 9.77 and 6 is: 8.96
Step by Step Solution
- Step 1: Write the proportion equation
6.54 : 9.77 = 6 : x - Step 2: Convert to fraction form
6.54/9.77 = 6/x - Step 3: Cross multiply
6.54x = 9.77 × 6 - Step 4: Simplify right side
6.54x = 58.59 - Step 5: Solve for x
x = 58.59/6.54 - Step 6: Final answer
x = 8.96
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.