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Finding the Fourth Proportional to 6,497,548.80, 9,743,990.40 and 3,301,612.80

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Solution

The fourth proportional to 6,497,548.80, 9,743,990.40 and 3,301,612.80 is: 4,951,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,548.80 : 9,743,990.40 = 3,301,612.80 : x
  2. Step 2: Convert to fraction form
    6,497,548.80/9,743,990.40 = 3,301,612.80/x
  3. Step 3: Cross multiply
    6,497,548.80x = 9,743,990.40 × 3,301,612.80
  4. Step 4: Simplify right side
    6,497,548.80x = 32,170,883,427,717.12
  5. Step 5: Solve for x
    x = 32,170,883,427,717.12/6,497,548.80
  6. Step 6: Final answer
    x = 4,951,233.83

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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.