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Finding the Fourth Proportional to 5,969, 8,237.22 and 4,109.24

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Solution

The fourth proportional to 5,969, 8,237.22 and 4,109.24 is: 5,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969 : 8,237.22 = 4,109.24 : x
  2. Step 2: Convert to fraction form
    5,969/8,237.22 = 4,109.24/x
  3. Step 3: Cross multiply
    5,969x = 8,237.22 × 4,109.24
  4. Step 4: Simplify right side
    5,969x = 33,848,713.91
  5. Step 5: Solve for x
    x = 33,848,713.91/5,969
  6. Step 6: Final answer
    x = 5,670.75

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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.