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Finding the Fourth Proportional to 12,007.98, 16,571.79 and 7,967.88

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Solution

The fourth proportional to 12,007.98, 16,571.79 and 7,967.88 is: 10,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.98 : 16,571.79 = 7,967.88 : x
  2. Step 2: Convert to fraction form
    12,007.98/16,571.79 = 7,967.88/x
  3. Step 3: Cross multiply
    12,007.98x = 16,571.79 × 7,967.88
  4. Step 4: Simplify right side
    12,007.98x = 132,042,034.11
  5. Step 5: Solve for x
    x = 132,042,034.11/12,007.98
  6. Step 6: Final answer
    x = 10,996.19

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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.