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Finding the Fourth Proportional to 9,039, 13,558.74 and 2,883

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Solution

The fourth proportional to 9,039, 13,558.74 and 2,883 is: 4,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039 : 13,558.74 = 2,883 : x
  2. Step 2: Convert to fraction form
    9,039/13,558.74 = 2,883/x
  3. Step 3: Cross multiply
    9,039x = 13,558.74 × 2,883
  4. Step 4: Simplify right side
    9,039x = 39,089,847.42
  5. Step 5: Solve for x
    x = 39,089,847.42/9,039
  6. Step 6: Final answer
    x = 4,324.58

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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.