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Finding the Fourth Proportional to 16,407.36, 24,621.98 and 7,643.16

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Solution

The fourth proportional to 16,407.36, 24,621.98 and 7,643.16 is: 11,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.36 : 24,621.98 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    16,407.36/24,621.98 = 7,643.16/x
  3. Step 3: Cross multiply
    16,407.36x = 24,621.98 × 7,643.16
  4. Step 4: Simplify right side
    16,407.36x = 188,189,694.44
  5. Step 5: Solve for x
    x = 188,189,694.44/16,407.36
  6. Step 6: Final answer
    x = 11,469.83

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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.