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Finding the Fourth Proportional to 15,892.80, 23,839.20 and 4,207.20

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Solution

The fourth proportional to 15,892.80, 23,839.20 and 4,207.20 is: 6,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.80 : 23,839.20 = 4,207.20 : x
  2. Step 2: Convert to fraction form
    15,892.80/23,839.20 = 4,207.20/x
  3. Step 3: Cross multiply
    15,892.80x = 23,839.20 × 4,207.20
  4. Step 4: Simplify right side
    15,892.80x = 100,296,282.24
  5. Step 5: Solve for x
    x = 100,296,282.24/15,892.80
  6. Step 6: Final answer
    x = 6,310.80

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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.