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Finding the Fourth Proportional to 11,711.68, 17,548.02 and 8,241.64

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Solution

The fourth proportional to 11,711.68, 17,548.02 and 8,241.64 is: 12,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.68 : 17,548.02 = 8,241.64 : x
  2. Step 2: Convert to fraction form
    11,711.68/17,548.02 = 8,241.64/x
  3. Step 3: Cross multiply
    11,711.68x = 17,548.02 × 8,241.64
  4. Step 4: Simplify right side
    11,711.68x = 144,624,463.55
  5. Step 5: Solve for x
    x = 144,624,463.55/11,711.68
  6. Step 6: Final answer
    x = 12,348.74

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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.