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Finding the Fourth Proportional to 33,163.77, 49,739.16 and 9,783.93

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Solution

The fourth proportional to 33,163.77, 49,739.16 and 9,783.93 is: 14,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.77 : 49,739.16 = 9,783.93 : x
  2. Step 2: Convert to fraction form
    33,163.77/49,739.16 = 9,783.93/x
  3. Step 3: Cross multiply
    33,163.77x = 49,739.16 × 9,783.93
  4. Step 4: Simplify right side
    33,163.77x = 486,644,459.70
  5. Step 5: Solve for x
    x = 486,644,459.70/33,163.77
  6. Step 6: Final answer
    x = 14,673.98

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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.