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Finding the Fourth Proportional to 6,940.54, 9,571.77 and 5,056.53

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Solution

The fourth proportional to 6,940.54, 9,571.77 and 5,056.53 is: 6,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.54 : 9,571.77 = 5,056.53 : x
  2. Step 2: Convert to fraction form
    6,940.54/9,571.77 = 5,056.53/x
  3. Step 3: Cross multiply
    6,940.54x = 9,571.77 × 5,056.53
  4. Step 4: Simplify right side
    6,940.54x = 48,399,906.26
  5. Step 5: Solve for x
    x = 48,399,906.26/6,940.54
  6. Step 6: Final answer
    x = 6,973.51

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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.