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Finding the Fourth Proportional to 13,425.20, 20,137.80 and 4,191.20

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Solution

The fourth proportional to 13,425.20, 20,137.80 and 4,191.20 is: 6,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.20 : 20,137.80 = 4,191.20 : x
  2. Step 2: Convert to fraction form
    13,425.20/20,137.80 = 4,191.20/x
  3. Step 3: Cross multiply
    13,425.20x = 20,137.80 × 4,191.20
  4. Step 4: Simplify right side
    13,425.20x = 84,401,547.36
  5. Step 5: Solve for x
    x = 84,401,547.36/13,425.20
  6. Step 6: Final answer
    x = 6,286.80

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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.