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Finding the Fourth Proportional to 27,209.50, 40,814.26 and 10,793.50

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Solution

The fourth proportional to 27,209.50, 40,814.26 and 10,793.50 is: 16,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.50 : 40,814.26 = 10,793.50 : x
  2. Step 2: Convert to fraction form
    27,209.50/40,814.26 = 10,793.50/x
  3. Step 3: Cross multiply
    27,209.50x = 40,814.26 × 10,793.50
  4. Step 4: Simplify right side
    27,209.50x = 440,528,715.31
  5. Step 5: Solve for x
    x = 440,528,715.31/27,209.50
  6. Step 6: Final answer
    x = 16,190.25

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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.