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Finding the Fourth Proportional to 7,610.44, 10,509.09 and 4,782.73

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Solution

The fourth proportional to 7,610.44, 10,509.09 and 4,782.73 is: 6,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.44 : 10,509.09 = 4,782.73 : x
  2. Step 2: Convert to fraction form
    7,610.44/10,509.09 = 4,782.73/x
  3. Step 3: Cross multiply
    7,610.44x = 10,509.09 × 4,782.73
  4. Step 4: Simplify right side
    7,610.44x = 50,262,087.47
  5. Step 5: Solve for x
    x = 50,262,087.47/7,610.44
  6. Step 6: Final answer
    x = 6,604.36

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.