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Finding the Fourth Proportional to 13,428.10, 20,142.15 and 7,207.30

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Solution

The fourth proportional to 13,428.10, 20,142.15 and 7,207.30 is: 10,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.10 : 20,142.15 = 7,207.30 : x
  2. Step 2: Convert to fraction form
    13,428.10/20,142.15 = 7,207.30/x
  3. Step 3: Cross multiply
    13,428.10x = 20,142.15 × 7,207.30
  4. Step 4: Simplify right side
    13,428.10x = 145,170,517.70
  5. Step 5: Solve for x
    x = 145,170,517.70/13,428.10
  6. Step 6: Final answer
    x = 10,810.95

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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.