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Finding the Fourth Proportional to 6,491,202.14, 8,910,950.89 and 5,571,835.19

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Solution

The fourth proportional to 6,491,202.14, 8,910,950.89 and 5,571,835.19 is: 7,648,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,202.14 : 8,910,950.89 = 5,571,835.19 : x
  2. Step 2: Convert to fraction form
    6,491,202.14/8,910,950.89 = 5,571,835.19/x
  3. Step 3: Cross multiply
    6,491,202.14x = 8,910,950.89 × 5,571,835.19
  4. Step 4: Simplify right side
    6,491,202.14x = 49,650,349,745,263.83
  5. Step 5: Solve for x
    x = 49,650,349,745,263.83/6,491,202.14
  6. Step 6: Final answer
    x = 7,648,868.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.