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Finding the Fourth Proportional to 6,462,674.07, 9,694,257.14 and 2,418,736.11

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Solution

The fourth proportional to 6,462,674.07, 9,694,257.14 and 2,418,736.11 is: 3,628,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462,674.07 : 9,694,257.14 = 2,418,736.11 : x
  2. Step 2: Convert to fraction form
    6,462,674.07/9,694,257.14 = 2,418,736.11/x
  3. Step 3: Cross multiply
    6,462,674.07x = 9,694,257.14 × 2,418,736.11
  4. Step 4: Simplify right side
    6,462,674.07x = 23,447,849,792,049.64
  5. Step 5: Solve for x
    x = 23,447,849,792,049.64/6,462,674.07
  6. Step 6: Final answer
    x = 3,628,196.24

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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.