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Finding the Fourth Proportional to 20,627.34, 30,946.59 and 9,524.94

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Solution

The fourth proportional to 20,627.34, 30,946.59 and 9,524.94 is: 14,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.34 : 30,946.59 = 9,524.94 : x
  2. Step 2: Convert to fraction form
    20,627.34/30,946.59 = 9,524.94/x
  3. Step 3: Cross multiply
    20,627.34x = 30,946.59 × 9,524.94
  4. Step 4: Simplify right side
    20,627.34x = 294,764,412.95
  5. Step 5: Solve for x
    x = 294,764,412.95/20,627.34
  6. Step 6: Final answer
    x = 14,289.99

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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.