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Finding the Fourth Proportional to 26,537.76, 39,806.28 and 8,069.76

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Solution

The fourth proportional to 26,537.76, 39,806.28 and 8,069.76 is: 12,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.76 : 39,806.28 = 8,069.76 : x
  2. Step 2: Convert to fraction form
    26,537.76/39,806.28 = 8,069.76/x
  3. Step 3: Cross multiply
    26,537.76x = 39,806.28 × 8,069.76
  4. Step 4: Simplify right side
    26,537.76x = 321,227,126.09
  5. Step 5: Solve for x
    x = 321,227,126.09/26,537.76
  6. Step 6: Final answer
    x = 12,104.53

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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.