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Finding the Fourth Proportional to 20,263.50, 30,400.11 and 6,412.50

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Solution

The fourth proportional to 20,263.50, 30,400.11 and 6,412.50 is: 9,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.50 : 30,400.11 = 6,412.50 : x
  2. Step 2: Convert to fraction form
    20,263.50/30,400.11 = 6,412.50/x
  3. Step 3: Cross multiply
    20,263.50x = 30,400.11 × 6,412.50
  4. Step 4: Simplify right side
    20,263.50x = 194,940,705.38
  5. Step 5: Solve for x
    x = 194,940,705.38/20,263.50
  6. Step 6: Final answer
    x = 9,620.29

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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.