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Finding the Fourth Proportional to 8,203.94, 12,305.94 and 3,009.81

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Solution

The fourth proportional to 8,203.94, 12,305.94 and 3,009.81 is: 4,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.94 : 12,305.94 = 3,009.81 : x
  2. Step 2: Convert to fraction form
    8,203.94/12,305.94 = 3,009.81/x
  3. Step 3: Cross multiply
    8,203.94x = 12,305.94 × 3,009.81
  4. Step 4: Simplify right side
    8,203.94x = 37,038,541.27
  5. Step 5: Solve for x
    x = 37,038,541.27/8,203.94
  6. Step 6: Final answer
    x = 4,514.73

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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.