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Finding the Fourth Proportional to 6,072.96, 9,112.56 and 6,054.24

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Solution

The fourth proportional to 6,072.96, 9,112.56 and 6,054.24 is: 9,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.96 : 9,112.56 = 6,054.24 : x
  2. Step 2: Convert to fraction form
    6,072.96/9,112.56 = 6,054.24/x
  3. Step 3: Cross multiply
    6,072.96x = 9,112.56 × 6,054.24
  4. Step 4: Simplify right side
    6,072.96x = 55,169,625.25
  5. Step 5: Solve for x
    x = 55,169,625.25/6,072.96
  6. Step 6: Final answer
    x = 9,084.47

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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.