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Finding the Fourth Proportional to 6,489,382.70, 9,734,061.80 and 2,446,777.40

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Solution

The fourth proportional to 6,489,382.70, 9,734,061.80 and 2,446,777.40 is: 3,670,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,382.70 : 9,734,061.80 = 2,446,777.40 : x
  2. Step 2: Convert to fraction form
    6,489,382.70/9,734,061.80 = 2,446,777.40/x
  3. Step 3: Cross multiply
    6,489,382.70x = 9,734,061.80 × 2,446,777.40
  4. Step 4: Simplify right side
    6,489,382.70x = 23,817,082,379,889.96
  5. Step 5: Solve for x
    x = 23,817,082,379,889.96/6,489,382.70
  6. Step 6: Final answer
    x = 3,670,161.47

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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.