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Finding the Fourth Proportional to 6,493,033.87, 9,736,548.21 and 3,653,145.73

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Solution

The fourth proportional to 6,493,033.87, 9,736,548.21 and 3,653,145.73 is: 5,478,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,033.87 : 9,736,548.21 = 3,653,145.73 : x
  2. Step 2: Convert to fraction form
    6,493,033.87/9,736,548.21 = 3,653,145.73/x
  3. Step 3: Cross multiply
    6,493,033.87x = 9,736,548.21 × 3,653,145.73
  4. Step 4: Simplify right side
    6,493,033.87x = 35,569,029,518,300.65
  5. Step 5: Solve for x
    x = 35,569,029,518,300.65/6,493,033.87
  6. Step 6: Final answer
    x = 5,478,029.26

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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.