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Finding the Fourth Proportional to 6,580.20, 9,878.10 and 5,194.50

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Solution

The fourth proportional to 6,580.20, 9,878.10 and 5,194.50 is: 7,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.20 : 9,878.10 = 5,194.50 : x
  2. Step 2: Convert to fraction form
    6,580.20/9,878.10 = 5,194.50/x
  3. Step 3: Cross multiply
    6,580.20x = 9,878.10 × 5,194.50
  4. Step 4: Simplify right side
    6,580.20x = 51,311,790.45
  5. Step 5: Solve for x
    x = 51,311,790.45/6,580.20
  6. Step 6: Final answer
    x = 7,797.91

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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.