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Finding the Fourth Proportional to 20,133.70, 30,200.80 and 6,093.82

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Solution

The fourth proportional to 20,133.70, 30,200.80 and 6,093.82 is: 9,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.70 : 30,200.80 = 6,093.82 : x
  2. Step 2: Convert to fraction form
    20,133.70/30,200.80 = 6,093.82/x
  3. Step 3: Cross multiply
    20,133.70x = 30,200.80 × 6,093.82
  4. Step 4: Simplify right side
    20,133.70x = 184,038,239.06
  5. Step 5: Solve for x
    x = 184,038,239.06/20,133.70
  6. Step 6: Final answer
    x = 9,140.81

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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.