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Finding the Fourth Proportional to 6,557,584.14, 9,049,448.52 and 3,656,978.28

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Solution

The fourth proportional to 6,557,584.14, 9,049,448.52 and 3,656,978.28 is: 5,046,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,584.14 : 9,049,448.52 = 3,656,978.28 : x
  2. Step 2: Convert to fraction form
    6,557,584.14/9,049,448.52 = 3,656,978.28/x
  3. Step 3: Cross multiply
    6,557,584.14x = 9,049,448.52 × 3,656,978.28
  4. Step 4: Simplify right side
    6,557,584.14x = 33,093,636,683,618.14
  5. Step 5: Solve for x
    x = 33,093,636,683,618.14/6,557,584.14
  6. Step 6: Final answer
    x = 5,046,620.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.