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Finding the Fourth Proportional to 13,846.70, 20,770.14 and 5,528.82

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Solution

The fourth proportional to 13,846.70, 20,770.14 and 5,528.82 is: 8,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.70 : 20,770.14 = 5,528.82 : x
  2. Step 2: Convert to fraction form
    13,846.70/20,770.14 = 5,528.82/x
  3. Step 3: Cross multiply
    13,846.70x = 20,770.14 × 5,528.82
  4. Step 4: Simplify right side
    13,846.70x = 114,834,365.43
  5. Step 5: Solve for x
    x = 114,834,365.43/13,846.70
  6. Step 6: Final answer
    x = 8,293.27

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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.