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Finding the Fourth Proportional to 11,918.38, 17,882.43 and 9,600.16

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Solution

The fourth proportional to 11,918.38, 17,882.43 and 9,600.16 is: 14,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.38 : 17,882.43 = 9,600.16 : x
  2. Step 2: Convert to fraction form
    11,918.38/17,882.43 = 9,600.16/x
  3. Step 3: Cross multiply
    11,918.38x = 17,882.43 × 9,600.16
  4. Step 4: Simplify right side
    11,918.38x = 171,674,189.19
  5. Step 5: Solve for x
    x = 171,674,189.19/11,918.38
  6. Step 6: Final answer
    x = 14,404.15

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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.