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Finding the Fourth Proportional to 13,527.28, 20,241.58 and 7,983.28

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Solution

The fourth proportional to 13,527.28, 20,241.58 and 7,983.28 is: 11,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.28 : 20,241.58 = 7,983.28 : x
  2. Step 2: Convert to fraction form
    13,527.28/20,241.58 = 7,983.28/x
  3. Step 3: Cross multiply
    13,527.28x = 20,241.58 × 7,983.28
  4. Step 4: Simplify right side
    13,527.28x = 161,594,200.78
  5. Step 5: Solve for x
    x = 161,594,200.78/13,527.28
  6. Step 6: Final answer
    x = 11,945.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.