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Finding the Fourth Proportional to 6,940.10, 9,571.93 and 6,144.28

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Solution

The fourth proportional to 6,940.10, 9,571.93 and 6,144.28 is: 8,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.10 : 9,571.93 = 6,144.28 : x
  2. Step 2: Convert to fraction form
    6,940.10/9,571.93 = 6,144.28/x
  3. Step 3: Cross multiply
    6,940.10x = 9,571.93 × 6,144.28
  4. Step 4: Simplify right side
    6,940.10x = 58,812,578.77
  5. Step 5: Solve for x
    x = 58,812,578.77/6,940.10
  6. Step 6: Final answer
    x = 8,474.31

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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.