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Finding the Fourth Proportional to 14,683.80, 22,027.14 and 4,822.68

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Solution

The fourth proportional to 14,683.80, 22,027.14 and 4,822.68 is: 7,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.80 : 22,027.14 = 4,822.68 : x
  2. Step 2: Convert to fraction form
    14,683.80/22,027.14 = 4,822.68/x
  3. Step 3: Cross multiply
    14,683.80x = 22,027.14 × 4,822.68
  4. Step 4: Simplify right side
    14,683.80x = 106,229,847.54
  5. Step 5: Solve for x
    x = 106,229,847.54/14,683.80
  6. Step 6: Final answer
    x = 7,234.49

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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.