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Finding the Fourth Proportional to 20,152.60, 30,228.90 and 6,299.80

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Solution

The fourth proportional to 20,152.60, 30,228.90 and 6,299.80 is: 9,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.60 : 30,228.90 = 6,299.80 : x
  2. Step 2: Convert to fraction form
    20,152.60/30,228.90 = 6,299.80/x
  3. Step 3: Cross multiply
    20,152.60x = 30,228.90 × 6,299.80
  4. Step 4: Simplify right side
    20,152.60x = 190,436,024.22
  5. Step 5: Solve for x
    x = 190,436,024.22/20,152.60
  6. Step 6: Final answer
    x = 9,449.70

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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.