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Finding the Fourth Proportional to 26,450.48, 39,675.76 and 7,982.48

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Solution

The fourth proportional to 26,450.48, 39,675.76 and 7,982.48 is: 11,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450.48 : 39,675.76 = 7,982.48 : x
  2. Step 2: Convert to fraction form
    26,450.48/39,675.76 = 7,982.48/x
  3. Step 3: Cross multiply
    26,450.48x = 39,675.76 × 7,982.48
  4. Step 4: Simplify right side
    26,450.48x = 316,710,960.68
  5. Step 5: Solve for x
    x = 316,710,960.68/26,450.48
  6. Step 6: Final answer
    x = 11,973.73

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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.