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Finding the Fourth Proportional to 11,770.99, 16,243.22 and 10,830.58

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Solution

The fourth proportional to 11,770.99, 16,243.22 and 10,830.58 is: 14,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.99 : 16,243.22 = 10,830.58 : x
  2. Step 2: Convert to fraction form
    11,770.99/16,243.22 = 10,830.58/x
  3. Step 3: Cross multiply
    11,770.99x = 16,243.22 × 10,830.58
  4. Step 4: Simplify right side
    11,770.99x = 175,923,480.14
  5. Step 5: Solve for x
    x = 175,923,480.14/11,770.99
  6. Step 6: Final answer
    x = 14,945.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.