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Finding the Fourth Proportional to 12,010.80, 18,016.20 and 6,178.80

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Solution

The fourth proportional to 12,010.80, 18,016.20 and 6,178.80 is: 9,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.80 : 18,016.20 = 6,178.80 : x
  2. Step 2: Convert to fraction form
    12,010.80/18,016.20 = 6,178.80/x
  3. Step 3: Cross multiply
    12,010.80x = 18,016.20 × 6,178.80
  4. Step 4: Simplify right side
    12,010.80x = 111,318,496.56
  5. Step 5: Solve for x
    x = 111,318,496.56/12,010.80
  6. Step 6: Final answer
    x = 9,268.20

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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.