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Finding the Fourth Proportional to 11,907.80, 17,861.70 and 10,814.30

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Solution

The fourth proportional to 11,907.80, 17,861.70 and 10,814.30 is: 16,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.80 : 17,861.70 = 10,814.30 : x
  2. Step 2: Convert to fraction form
    11,907.80/17,861.70 = 10,814.30/x
  3. Step 3: Cross multiply
    11,907.80x = 17,861.70 × 10,814.30
  4. Step 4: Simplify right side
    11,907.80x = 193,161,782.31
  5. Step 5: Solve for x
    x = 193,161,782.31/11,907.80
  6. Step 6: Final answer
    x = 16,221.45

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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.