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Finding the Fourth Proportional to 13,519, 20,279.42 and 4,158.44

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Solution

The fourth proportional to 13,519, 20,279.42 and 4,158.44 is: 6,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519 : 20,279.42 = 4,158.44 : x
  2. Step 2: Convert to fraction form
    13,519/20,279.42 = 4,158.44/x
  3. Step 3: Cross multiply
    13,519x = 20,279.42 × 4,158.44
  4. Step 4: Simplify right side
    13,519x = 84,330,751.30
  5. Step 5: Solve for x
    x = 84,330,751.30/13,519
  6. Step 6: Final answer
    x = 6,237.94

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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.