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Finding the Fourth Proportional to 20,462.80, 30,694.20 and 7,315.60

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Solution

The fourth proportional to 20,462.80, 30,694.20 and 7,315.60 is: 10,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.80 : 30,694.20 = 7,315.60 : x
  2. Step 2: Convert to fraction form
    20,462.80/30,694.20 = 7,315.60/x
  3. Step 3: Cross multiply
    20,462.80x = 30,694.20 × 7,315.60
  4. Step 4: Simplify right side
    20,462.80x = 224,546,489.52
  5. Step 5: Solve for x
    x = 224,546,489.52/20,462.80
  6. Step 6: Final answer
    x = 10,973.40

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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.