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Finding the Fourth Proportional to 9,850.32, 14,771.14 and 3,690

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Solution

The fourth proportional to 9,850.32, 14,771.14 and 3,690 is: 5,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.32 : 14,771.14 = 3,690 : x
  2. Step 2: Convert to fraction form
    9,850.32/14,771.14 = 3,690/x
  3. Step 3: Cross multiply
    9,850.32x = 14,771.14 × 3,690
  4. Step 4: Simplify right side
    9,850.32x = 54,505,506.60
  5. Step 5: Solve for x
    x = 54,505,506.60/9,850.32
  6. Step 6: Final answer
    x = 5,533.37

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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.