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Finding the Fourth Proportional to 12,522.76, 18,786.96 and 4,203.24

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Solution

The fourth proportional to 12,522.76, 18,786.96 and 4,203.24 is: 6,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.76 : 18,786.96 = 4,203.24 : x
  2. Step 2: Convert to fraction form
    12,522.76/18,786.96 = 4,203.24/x
  3. Step 3: Cross multiply
    12,522.76x = 18,786.96 × 4,203.24
  4. Step 4: Simplify right side
    12,522.76x = 78,966,101.75
  5. Step 5: Solve for x
    x = 78,966,101.75/12,522.76
  6. Step 6: Final answer
    x = 6,305.81

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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.