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Finding the Fourth Proportional to 11,665.46, 17,480.90 and 9,600.14

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Solution

The fourth proportional to 11,665.46, 17,480.90 and 9,600.14 is: 14,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.46 : 17,480.90 = 9,600.14 : x
  2. Step 2: Convert to fraction form
    11,665.46/17,480.90 = 9,600.14/x
  3. Step 3: Cross multiply
    11,665.46x = 17,480.90 × 9,600.14
  4. Step 4: Simplify right side
    11,665.46x = 167,819,087.33
  5. Step 5: Solve for x
    x = 167,819,087.33/11,665.46
  6. Step 6: Final answer
    x = 14,385.98

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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.