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Finding the Fourth Proportional to 6,511.52, 9,768.48 and 3,216.44

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Solution

The fourth proportional to 6,511.52, 9,768.48 and 3,216.44 is: 4,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.52 : 9,768.48 = 3,216.44 : x
  2. Step 2: Convert to fraction form
    6,511.52/9,768.48 = 3,216.44/x
  3. Step 3: Cross multiply
    6,511.52x = 9,768.48 × 3,216.44
  4. Step 4: Simplify right side
    6,511.52x = 31,419,729.81
  5. Step 5: Solve for x
    x = 31,419,729.81/6,511.52
  6. Step 6: Final answer
    x = 4,825.25

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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.