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Finding the Fourth Proportional to 8,007.69, 12,014.10 and 3,623.97

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Solution

The fourth proportional to 8,007.69, 12,014.10 and 3,623.97 is: 5,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.69 : 12,014.10 = 3,623.97 : x
  2. Step 2: Convert to fraction form
    8,007.69/12,014.10 = 3,623.97/x
  3. Step 3: Cross multiply
    8,007.69x = 12,014.10 × 3,623.97
  4. Step 4: Simplify right side
    8,007.69x = 43,538,737.98
  5. Step 5: Solve for x
    x = 43,538,737.98/8,007.69
  6. Step 6: Final answer
    x = 5,437.12

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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.