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Finding the Fourth Proportional to 12,019.78, 18,019.22 and 5,776.66

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Solution

The fourth proportional to 12,019.78, 18,019.22 and 5,776.66 is: 8,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.78 : 18,019.22 = 5,776.66 : x
  2. Step 2: Convert to fraction form
    12,019.78/18,019.22 = 5,776.66/x
  3. Step 3: Cross multiply
    12,019.78x = 18,019.22 × 5,776.66
  4. Step 4: Simplify right side
    12,019.78x = 104,090,907.41
  5. Step 5: Solve for x
    x = 104,090,907.41/12,019.78
  6. Step 6: Final answer
    x = 8,659.97

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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.