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Finding the Fourth Proportional to 11,634.76, 16,059.63 and 7,855.30

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Solution

The fourth proportional to 11,634.76, 16,059.63 and 7,855.30 is: 10,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.76 : 16,059.63 = 7,855.30 : x
  2. Step 2: Convert to fraction form
    11,634.76/16,059.63 = 7,855.30/x
  3. Step 3: Cross multiply
    11,634.76x = 16,059.63 × 7,855.30
  4. Step 4: Simplify right side
    11,634.76x = 126,153,211.54
  5. Step 5: Solve for x
    x = 126,153,211.54/11,634.76
  6. Step 6: Final answer
    x = 10,842.79

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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.