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Finding the Fourth Proportional to 6,077.50, 9,100.46 and 5,205.60

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Solution

The fourth proportional to 6,077.50, 9,100.46 and 5,205.60 is: 7,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.50 : 9,100.46 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    6,077.50/9,100.46 = 5,205.60/x
  3. Step 3: Cross multiply
    6,077.50x = 9,100.46 × 5,205.60
  4. Step 4: Simplify right side
    6,077.50x = 47,373,367.59
  5. Step 5: Solve for x
    x = 47,373,367.59/6,077.50
  6. Step 6: Final answer
    x = 7,794.88

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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.