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Finding the Fourth Proportional to 6,491,684.94, 9,731,199.66 and 2,706,250.38

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Solution

The fourth proportional to 6,491,684.94, 9,731,199.66 and 2,706,250.38 is: 4,056,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,684.94 : 9,731,199.66 = 2,706,250.38 : x
  2. Step 2: Convert to fraction form
    6,491,684.94/9,731,199.66 = 2,706,250.38/x
  3. Step 3: Cross multiply
    6,491,684.94x = 9,731,199.66 × 2,706,250.38
  4. Step 4: Simplify right side
    6,491,684.94x = 26,335,062,777,730.87
  5. Step 5: Solve for x
    x = 26,335,062,777,730.87/6,491,684.94
  6. Step 6: Final answer
    x = 4,056,737.66

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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.