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Finding the Fourth Proportional to 13,611.40, 20,402.70 and 5,288.20

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Solution

The fourth proportional to 13,611.40, 20,402.70 and 5,288.20 is: 7,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.40 : 20,402.70 = 5,288.20 : x
  2. Step 2: Convert to fraction form
    13,611.40/20,402.70 = 5,288.20/x
  3. Step 3: Cross multiply
    13,611.40x = 20,402.70 × 5,288.20
  4. Step 4: Simplify right side
    13,611.40x = 107,893,558.14
  5. Step 5: Solve for x
    x = 107,893,558.14/13,611.40
  6. Step 6: Final answer
    x = 7,926.71

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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.