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Finding the Fourth Proportional to 11,914.80, 16,443.40 and 6,610.16

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Solution

The fourth proportional to 11,914.80, 16,443.40 and 6,610.16 is: 9,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.80 : 16,443.40 = 6,610.16 : x
  2. Step 2: Convert to fraction form
    11,914.80/16,443.40 = 6,610.16/x
  3. Step 3: Cross multiply
    11,914.80x = 16,443.40 × 6,610.16
  4. Step 4: Simplify right side
    11,914.80x = 108,693,504.94
  5. Step 5: Solve for x
    x = 108,693,504.94/11,914.80
  6. Step 6: Final answer
    x = 9,122.56

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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.