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Finding the Fourth Proportional to 9,199.65, 13,793.67 and 4,270.80

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Solution

The fourth proportional to 9,199.65, 13,793.67 and 4,270.80 is: 6,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.65 : 13,793.67 = 4,270.80 : x
  2. Step 2: Convert to fraction form
    9,199.65/13,793.67 = 4,270.80/x
  3. Step 3: Cross multiply
    9,199.65x = 13,793.67 × 4,270.80
  4. Step 4: Simplify right side
    9,199.65x = 58,910,005.84
  5. Step 5: Solve for x
    x = 58,910,005.84/9,199.65
  6. Step 6: Final answer
    x = 6,403.51

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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.