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Finding the Fourth Proportional to 6,902.33, 9,524.74 and 3,918.22

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Solution

The fourth proportional to 6,902.33, 9,524.74 and 3,918.22 is: 5,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.33 : 9,524.74 = 3,918.22 : x
  2. Step 2: Convert to fraction form
    6,902.33/9,524.74 = 3,918.22/x
  3. Step 3: Cross multiply
    6,902.33x = 9,524.74 × 3,918.22
  4. Step 4: Simplify right side
    6,902.33x = 37,320,026.76
  5. Step 5: Solve for x
    x = 37,320,026.76/6,902.33
  6. Step 6: Final answer
    x = 5,406.87

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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.