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Finding the Fourth Proportional to 11,655.26, 16,078.26 and 7,624.46

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Solution

The fourth proportional to 11,655.26, 16,078.26 and 7,624.46 is: 10,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.26 : 16,078.26 = 7,624.46 : x
  2. Step 2: Convert to fraction form
    11,655.26/16,078.26 = 7,624.46/x
  3. Step 3: Cross multiply
    11,655.26x = 16,078.26 × 7,624.46
  4. Step 4: Simplify right side
    11,655.26x = 122,587,969.85
  5. Step 5: Solve for x
    x = 122,587,969.85/11,655.26
  6. Step 6: Final answer
    x = 10,517.83

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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.