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Finding the Fourth Proportional to 13,950.20, 20,949.60 and 9,819.20

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Solution

The fourth proportional to 13,950.20, 20,949.60 and 9,819.20 is: 14,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.20 : 20,949.60 = 9,819.20 : x
  2. Step 2: Convert to fraction form
    13,950.20/20,949.60 = 9,819.20/x
  3. Step 3: Cross multiply
    13,950.20x = 20,949.60 × 9,819.20
  4. Step 4: Simplify right side
    13,950.20x = 205,708,312.32
  5. Step 5: Solve for x
    x = 205,708,312.32/13,950.20
  6. Step 6: Final answer
    x = 14,745.90

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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.