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Finding the Fourth Proportional to 16,145.60, 24,213.60 and 6,279.20

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Solution

The fourth proportional to 16,145.60, 24,213.60 and 6,279.20 is: 9,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.60 : 24,213.60 = 6,279.20 : x
  2. Step 2: Convert to fraction form
    16,145.60/24,213.60 = 6,279.20/x
  3. Step 3: Cross multiply
    16,145.60x = 24,213.60 × 6,279.20
  4. Step 4: Simplify right side
    16,145.60x = 152,042,037.12
  5. Step 5: Solve for x
    x = 152,042,037.12/16,145.60
  6. Step 6: Final answer
    x = 9,416.93

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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.