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Finding the Fourth Proportional to 11,571.88, 15,969.16 and 6,266.68

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Solution

The fourth proportional to 11,571.88, 15,969.16 and 6,266.68 is: 8,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.88 : 15,969.16 = 6,266.68 : x
  2. Step 2: Convert to fraction form
    11,571.88/15,969.16 = 6,266.68/x
  3. Step 3: Cross multiply
    11,571.88x = 15,969.16 × 6,266.68
  4. Step 4: Simplify right side
    11,571.88x = 100,073,615.59
  5. Step 5: Solve for x
    x = 100,073,615.59/11,571.88
  6. Step 6: Final answer
    x = 8,648.00

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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.