Finding the Fourth Proportional to 10,322,948.24, 14,241,576.84 and 5,971,226.48
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Solution
The fourth proportional to 10,322,948.24, 14,241,576.84 and 5,971,226.48 is: 8,237,925.71
Step by Step Solution
- Step 1: Write the proportion equation
10,322,948.24 : 14,241,576.84 = 5,971,226.48 : x - Step 2: Convert to fraction form
10,322,948.24/14,241,576.84 = 5,971,226.48/x - Step 3: Cross multiply
10,322,948.24x = 14,241,576.84 × 5,971,226.48 - Step 4: Simplify right side
10,322,948.24x = 85,039,680,743,962.73 - Step 5: Solve for x
x = 85,039,680,743,962.73/10,322,948.24 - Step 6: Final answer
x = 8,237,925.71
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.