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Finding the Fourth Proportional to 6,834.04, 9,430.50 and 4,039

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Solution

The fourth proportional to 6,834.04, 9,430.50 and 4,039 is: 5,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.04 : 9,430.50 = 4,039 : x
  2. Step 2: Convert to fraction form
    6,834.04/9,430.50 = 4,039/x
  3. Step 3: Cross multiply
    6,834.04x = 9,430.50 × 4,039
  4. Step 4: Simplify right side
    6,834.04x = 38,089,789.50
  5. Step 5: Solve for x
    x = 38,089,789.50/6,834.04
  6. Step 6: Final answer
    x = 5,573.54

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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.