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Finding the Fourth Proportional to 6,511.20, 9,745.20 and 5,733.60

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Solution

The fourth proportional to 6,511.20, 9,745.20 and 5,733.60 is: 8,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.20 : 9,745.20 = 5,733.60 : x
  2. Step 2: Convert to fraction form
    6,511.20/9,745.20 = 5,733.60/x
  3. Step 3: Cross multiply
    6,511.20x = 9,745.20 × 5,733.60
  4. Step 4: Simplify right side
    6,511.20x = 55,875,078.72
  5. Step 5: Solve for x
    x = 55,875,078.72/6,511.20
  6. Step 6: Final answer
    x = 8,581.38

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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.