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Finding the Fourth Proportional to 6,493,631.80, 9,740,447.70 and 2,709,830.20

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Solution

The fourth proportional to 6,493,631.80, 9,740,447.70 and 2,709,830.20 is: 4,064,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,631.80 : 9,740,447.70 = 2,709,830.20 : x
  2. Step 2: Convert to fraction form
    6,493,631.80/9,740,447.70 = 2,709,830.20/x
  3. Step 3: Cross multiply
    6,493,631.80x = 9,740,447.70 × 2,709,830.20
  4. Step 4: Simplify right side
    6,493,631.80x = 26,394,959,338,980.54
  5. Step 5: Solve for x
    x = 26,394,959,338,980.54/6,493,631.80
  6. Step 6: Final answer
    x = 4,064,745.30

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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.