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Finding the Fourth Proportional to 10,480.73, 15,707.21 and 7,694.37

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Solution

The fourth proportional to 10,480.73, 15,707.21 and 7,694.37 is: 11,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.73 : 15,707.21 = 7,694.37 : x
  2. Step 2: Convert to fraction form
    10,480.73/15,707.21 = 7,694.37/x
  3. Step 3: Cross multiply
    10,480.73x = 15,707.21 × 7,694.37
  4. Step 4: Simplify right side
    10,480.73x = 120,857,085.41
  5. Step 5: Solve for x
    x = 120,857,085.41/10,480.73
  6. Step 6: Final answer
    x = 11,531.36

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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.