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Finding the Fourth Proportional to 10,783.80, 16,175.70 and 8,191.80

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Solution

The fourth proportional to 10,783.80, 16,175.70 and 8,191.80 is: 12,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.80 : 16,175.70 = 8,191.80 : x
  2. Step 2: Convert to fraction form
    10,783.80/16,175.70 = 8,191.80/x
  3. Step 3: Cross multiply
    10,783.80x = 16,175.70 × 8,191.80
  4. Step 4: Simplify right side
    10,783.80x = 132,508,099.26
  5. Step 5: Solve for x
    x = 132,508,099.26/10,783.80
  6. Step 6: Final answer
    x = 12,287.70

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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.