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Finding the Fourth Proportional to 16,131.16, 24,203 and 6,277.36

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Solution

The fourth proportional to 16,131.16, 24,203 and 6,277.36 is: 9,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.16 : 24,203 = 6,277.36 : x
  2. Step 2: Convert to fraction form
    16,131.16/24,203 = 6,277.36/x
  3. Step 3: Cross multiply
    16,131.16x = 24,203 × 6,277.36
  4. Step 4: Simplify right side
    16,131.16x = 151,930,944.08
  5. Step 5: Solve for x
    x = 151,930,944.08/16,131.16
  6. Step 6: Final answer
    x = 9,418.48

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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.