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Finding the Fourth Proportional to 6,499.20, 9,745.20 and 2,800.80

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Solution

The fourth proportional to 6,499.20, 9,745.20 and 2,800.80 is: 4,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.20 : 9,745.20 = 2,800.80 : x
  2. Step 2: Convert to fraction form
    6,499.20/9,745.20 = 2,800.80/x
  3. Step 3: Cross multiply
    6,499.20x = 9,745.20 × 2,800.80
  4. Step 4: Simplify right side
    6,499.20x = 27,294,356.16
  5. Step 5: Solve for x
    x = 27,294,356.16/6,499.20
  6. Step 6: Final answer
    x = 4,199.65

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1.5x scale

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.