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Finding the Fourth Proportional to 20,566.86, 30,825.57 and 7,403.86

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Solution

The fourth proportional to 20,566.86, 30,825.57 and 7,403.86 is: 11,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.86 : 30,825.57 = 7,403.86 : x
  2. Step 2: Convert to fraction form
    20,566.86/30,825.57 = 7,403.86/x
  3. Step 3: Cross multiply
    20,566.86x = 30,825.57 × 7,403.86
  4. Step 4: Simplify right side
    20,566.86x = 228,228,204.70
  5. Step 5: Solve for x
    x = 228,228,204.70/20,566.86
  6. Step 6: Final answer
    x = 11,096.89

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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.