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Finding the Fourth Proportional to 20,666.50, 30,999.77 and 6,815.50

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Solution

The fourth proportional to 20,666.50, 30,999.77 and 6,815.50 is: 10,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.50 : 30,999.77 = 6,815.50 : x
  2. Step 2: Convert to fraction form
    20,666.50/30,999.77 = 6,815.50/x
  3. Step 3: Cross multiply
    20,666.50x = 30,999.77 × 6,815.50
  4. Step 4: Simplify right side
    20,666.50x = 211,278,932.44
  5. Step 5: Solve for x
    x = 211,278,932.44/20,666.50
  6. Step 6: Final answer
    x = 10,223.26

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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.