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Finding the Fourth Proportional to 6,571.87, 9,072.44 and 4,184.22

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Solution

The fourth proportional to 6,571.87, 9,072.44 and 4,184.22 is: 5,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.87 : 9,072.44 = 4,184.22 : x
  2. Step 2: Convert to fraction form
    6,571.87/9,072.44 = 4,184.22/x
  3. Step 3: Cross multiply
    6,571.87x = 9,072.44 × 4,184.22
  4. Step 4: Simplify right side
    6,571.87x = 37,961,084.90
  5. Step 5: Solve for x
    x = 37,961,084.90/6,571.87
  6. Step 6: Final answer
    x = 5,776.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.