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Finding the Fourth Proportional to 6,649,522.81, 9,974,284.25 and 5,135,414.22

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Solution

The fourth proportional to 6,649,522.81, 9,974,284.25 and 5,135,414.22 is: 7,703,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,522.81 : 9,974,284.25 = 5,135,414.22 : x
  2. Step 2: Convert to fraction form
    6,649,522.81/9,974,284.25 = 5,135,414.22/x
  3. Step 3: Cross multiply
    6,649,522.81x = 9,974,284.25 × 5,135,414.22
  4. Step 4: Simplify right side
    6,649,522.81x = 51,222,081,096,223.54
  5. Step 5: Solve for x
    x = 51,222,081,096,223.54/6,649,522.81
  6. Step 6: Final answer
    x = 7,703,121.35

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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.