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Finding the Fourth Proportional to 6,072.54, 9,109.16 and 1,912.68

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Solution

The fourth proportional to 6,072.54, 9,109.16 and 1,912.68 is: 2,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.54 : 9,109.16 = 1,912.68 : x
  2. Step 2: Convert to fraction form
    6,072.54/9,109.16 = 1,912.68/x
  3. Step 3: Cross multiply
    6,072.54x = 9,109.16 × 1,912.68
  4. Step 4: Simplify right side
    6,072.54x = 17,422,908.15
  5. Step 5: Solve for x
    x = 17,422,908.15/6,072.54
  6. Step 6: Final answer
    x = 2,869.13

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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.