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Finding the Fourth Proportional to 10,481.23, 15,707.95 and 7,694.88

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Solution

The fourth proportional to 10,481.23, 15,707.95 and 7,694.88 is: 11,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.23 : 15,707.95 = 7,694.88 : x
  2. Step 2: Convert to fraction form
    10,481.23/15,707.95 = 7,694.88/x
  3. Step 3: Cross multiply
    10,481.23x = 15,707.95 × 7,694.88
  4. Step 4: Simplify right side
    10,481.23x = 120,870,790.30
  5. Step 5: Solve for x
    x = 120,870,790.30/10,481.23
  6. Step 6: Final answer
    x = 11,532.12

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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.