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Finding the Fourth Proportional to 13,534.88, 20,294.19 and 5,627.88

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Solution

The fourth proportional to 13,534.88, 20,294.19 and 5,627.88 is: 8,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.88 : 20,294.19 = 5,627.88 : x
  2. Step 2: Convert to fraction form
    13,534.88/20,294.19 = 5,627.88/x
  3. Step 3: Cross multiply
    13,534.88x = 20,294.19 × 5,627.88
  4. Step 4: Simplify right side
    13,534.88x = 114,213,266.02
  5. Step 5: Solve for x
    x = 114,213,266.02/13,534.88
  6. Step 6: Final answer
    x = 8,438.44

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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.