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Finding the Fourth Proportional to 12,007.64, 16,550.71 and 8,027.30

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Solution

The fourth proportional to 12,007.64, 16,550.71 and 8,027.30 is: 11,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.64 : 16,550.71 = 8,027.30 : x
  2. Step 2: Convert to fraction form
    12,007.64/16,550.71 = 8,027.30/x
  3. Step 3: Cross multiply
    12,007.64x = 16,550.71 × 8,027.30
  4. Step 4: Simplify right side
    12,007.64x = 132,857,514.38
  5. Step 5: Solve for x
    x = 132,857,514.38/12,007.64
  6. Step 6: Final answer
    x = 11,064.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.