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Finding the Fourth Proportional to 11,610.40, 17,408.40 and 6,677.60

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Solution

The fourth proportional to 11,610.40, 17,408.40 and 6,677.60 is: 10,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.40 : 17,408.40 = 6,677.60 : x
  2. Step 2: Convert to fraction form
    11,610.40/17,408.40 = 6,677.60/x
  3. Step 3: Cross multiply
    11,610.40x = 17,408.40 × 6,677.60
  4. Step 4: Simplify right side
    11,610.40x = 116,246,331.84
  5. Step 5: Solve for x
    x = 116,246,331.84/11,610.40
  6. Step 6: Final answer
    x = 10,012.26

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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.