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Finding the Fourth Proportional to 13,468.60, 20,206.14 and 4,234.60

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Solution

The fourth proportional to 13,468.60, 20,206.14 and 4,234.60 is: 6,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.60 : 20,206.14 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    13,468.60/20,206.14 = 4,234.60/x
  3. Step 3: Cross multiply
    13,468.60x = 20,206.14 × 4,234.60
  4. Step 4: Simplify right side
    13,468.60x = 85,564,920.44
  5. Step 5: Solve for x
    x = 85,564,920.44/13,468.60
  6. Step 6: Final answer
    x = 6,352.92

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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.