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Finding the Fourth Proportional to 20,274.75, 30,416.99 and 6,423.75

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Solution

The fourth proportional to 20,274.75, 30,416.99 and 6,423.75 is: 9,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.75 : 30,416.99 = 6,423.75 : x
  2. Step 2: Convert to fraction form
    20,274.75/30,416.99 = 6,423.75/x
  3. Step 3: Cross multiply
    20,274.75x = 30,416.99 × 6,423.75
  4. Step 4: Simplify right side
    20,274.75x = 195,391,107.39
  5. Step 5: Solve for x
    x = 195,391,107.39/20,274.75
  6. Step 6: Final answer
    x = 9,637.16

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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.