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Finding the Fourth Proportional to 12,571.68, 17,348.94 and 7,266.48

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Solution

The fourth proportional to 12,571.68, 17,348.94 and 7,266.48 is: 10,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.68 : 17,348.94 = 7,266.48 : x
  2. Step 2: Convert to fraction form
    12,571.68/17,348.94 = 7,266.48/x
  3. Step 3: Cross multiply
    12,571.68x = 17,348.94 × 7,266.48
  4. Step 4: Simplify right side
    12,571.68x = 126,065,725.53
  5. Step 5: Solve for x
    x = 126,065,725.53/12,571.68
  6. Step 6: Final answer
    x = 10,027.75

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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.