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Finding the Fourth Proportional to 20,484.78, 30,727.79 and 8,004.30

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Solution

The fourth proportional to 20,484.78, 30,727.79 and 8,004.30 is: 12,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.78 : 30,727.79 = 8,004.30 : x
  2. Step 2: Convert to fraction form
    20,484.78/30,727.79 = 8,004.30/x
  3. Step 3: Cross multiply
    20,484.78x = 30,727.79 × 8,004.30
  4. Step 4: Simplify right side
    20,484.78x = 245,954,409.48
  5. Step 5: Solve for x
    x = 245,954,409.48/20,484.78
  6. Step 6: Final answer
    x = 12,006.69

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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.