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Finding the Fourth Proportional to 13,797.66, 20,677.85 and 9,893.50

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Solution

The fourth proportional to 13,797.66, 20,677.85 and 9,893.50 is: 14,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.66 : 20,677.85 = 9,893.50 : x
  2. Step 2: Convert to fraction form
    13,797.66/20,677.85 = 9,893.50/x
  3. Step 3: Cross multiply
    13,797.66x = 20,677.85 × 9,893.50
  4. Step 4: Simplify right side
    13,797.66x = 204,576,308.98
  5. Step 5: Solve for x
    x = 204,576,308.98/13,797.66
  6. Step 6: Final answer
    x = 14,826.88

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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.