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Finding the Fourth Proportional to 6,480.20, 9,730.06 and 5,177.80

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Solution

The fourth proportional to 6,480.20, 9,730.06 and 5,177.80 is: 7,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.20 : 9,730.06 = 5,177.80 : x
  2. Step 2: Convert to fraction form
    6,480.20/9,730.06 = 5,177.80/x
  3. Step 3: Cross multiply
    6,480.20x = 9,730.06 × 5,177.80
  4. Step 4: Simplify right side
    6,480.20x = 50,380,304.67
  5. Step 5: Solve for x
    x = 50,380,304.67/6,480.20
  6. Step 6: Final answer
    x = 7,774.50

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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.