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Finding the Fourth Proportional to 20,194.92, 30,295.26 and 6,345

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Solution

The fourth proportional to 20,194.92, 30,295.26 and 6,345 is: 9,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.92 : 30,295.26 = 6,345 : x
  2. Step 2: Convert to fraction form
    20,194.92/30,295.26 = 6,345/x
  3. Step 3: Cross multiply
    20,194.92x = 30,295.26 × 6,345
  4. Step 4: Simplify right side
    20,194.92x = 192,223,424.70
  5. Step 5: Solve for x
    x = 192,223,424.70/20,194.92
  6. Step 6: Final answer
    x = 9,518.40

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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.