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Finding the Fourth Proportional to 6,548,813.25, 9,824,692.47 and 1,999,481.46

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Solution

The fourth proportional to 6,548,813.25, 9,824,692.47 and 1,999,481.46 is: 2,999,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,813.25 : 9,824,692.47 = 1,999,481.46 : x
  2. Step 2: Convert to fraction form
    6,548,813.25/9,824,692.47 = 1,999,481.46/x
  3. Step 3: Cross multiply
    6,548,813.25x = 9,824,692.47 × 1,999,481.46
  4. Step 4: Simplify right side
    6,548,813.25x = 19,644,290,394,843.14
  5. Step 5: Solve for x
    x = 19,644,290,394,843.14/6,548,813.25
  6. Step 6: Final answer
    x = 2,999,671.80

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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.