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Finding the Fourth Proportional to 16,101.03, 22,219.49 and 9,027

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Solution

The fourth proportional to 16,101.03, 22,219.49 and 9,027 is: 12,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.03 : 22,219.49 = 9,027 : x
  2. Step 2: Convert to fraction form
    16,101.03/22,219.49 = 9,027/x
  3. Step 3: Cross multiply
    16,101.03x = 22,219.49 × 9,027
  4. Step 4: Simplify right side
    16,101.03x = 200,575,291.10
  5. Step 5: Solve for x
    x = 200,575,291.10/16,101.03
  6. Step 6: Final answer
    x = 12,457.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.