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Finding the Fourth Proportional to 6,978,676.94, 10,468,002.45 and 2,186,733.26

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Solution

The fourth proportional to 6,978,676.94, 10,468,002.45 and 2,186,733.26 is: 3,280,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,676.94 : 10,468,002.45 = 2,186,733.26 : x
  2. Step 2: Convert to fraction form
    6,978,676.94/10,468,002.45 = 2,186,733.26/x
  3. Step 3: Cross multiply
    6,978,676.94x = 10,468,002.45 × 2,186,733.26
  4. Step 4: Simplify right side
    6,978,676.94x = 22,890,729,123,176.48
  5. Step 5: Solve for x
    x = 22,890,729,123,176.48/6,978,676.94
  6. Step 6: Final answer
    x = 3,280,095.83

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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.