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Finding the Fourth Proportional to 11,610.78, 17,416.17 and 7,022.94

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Solution

The fourth proportional to 11,610.78, 17,416.17 and 7,022.94 is: 10,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.78 : 17,416.17 = 7,022.94 : x
  2. Step 2: Convert to fraction form
    11,610.78/17,416.17 = 7,022.94/x
  3. Step 3: Cross multiply
    11,610.78x = 17,416.17 × 7,022.94
  4. Step 4: Simplify right side
    11,610.78x = 122,312,716.94
  5. Step 5: Solve for x
    x = 122,312,716.94/11,610.78
  6. Step 6: Final answer
    x = 10,534.41

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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.