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Finding the Fourth Proportional to 12,571.75, 17,347.09 and 7,265.54

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Solution

The fourth proportional to 12,571.75, 17,347.09 and 7,265.54 is: 10,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.75 : 17,347.09 = 7,265.54 : x
  2. Step 2: Convert to fraction form
    12,571.75/17,347.09 = 7,265.54/x
  3. Step 3: Cross multiply
    12,571.75x = 17,347.09 × 7,265.54
  4. Step 4: Simplify right side
    12,571.75x = 126,035,939.95
  5. Step 5: Solve for x
    x = 126,035,939.95/12,571.75
  6. Step 6: Final answer
    x = 10,025.33

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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.