Finding the Fourth Proportional to 30,926, 46,389 and 9,038
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Solution
The fourth proportional to 30,926, 46,389 and 9,038 is: 13,557
Step by Step Solution
- Step 1: Write the proportion equation
30,926 : 46,389 = 9,038 : x - Step 2: Convert to fraction form
30,926/46,389 = 9,038/x - Step 3: Cross multiply
30,926x = 46,389 × 9,038 - Step 4: Simplify right side
30,926x = 419,263,782 - Step 5: Solve for x
x = 419,263,782/30,926 - Step 6: Final answer
x = 13,557
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.