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Finding the Fourth Proportional to 5,571.75, 7,684.59 and 4,735.22

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Solution

The fourth proportional to 5,571.75, 7,684.59 and 4,735.22 is: 6,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.75 : 7,684.59 = 4,735.22 : x
  2. Step 2: Convert to fraction form
    5,571.75/7,684.59 = 4,735.22/x
  3. Step 3: Cross multiply
    5,571.75x = 7,684.59 × 4,735.22
  4. Step 4: Simplify right side
    5,571.75x = 36,388,231.63
  5. Step 5: Solve for x
    x = 36,388,231.63/5,571.75
  6. Step 6: Final answer
    x = 6,530.84

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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.