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Finding the Fourth Proportional to 8,203.52, 12,305.64 and 3,006.56

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Solution

The fourth proportional to 8,203.52, 12,305.64 and 3,006.56 is: 4,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.52 : 12,305.64 = 3,006.56 : x
  2. Step 2: Convert to fraction form
    8,203.52/12,305.64 = 3,006.56/x
  3. Step 3: Cross multiply
    8,203.52x = 12,305.64 × 3,006.56
  4. Step 4: Simplify right side
    8,203.52x = 36,997,645.00
  5. Step 5: Solve for x
    x = 36,997,645.00/8,203.52
  6. Step 6: Final answer
    x = 4,509.97

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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.