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Finding the Fourth Proportional to 26,559.66, 39,846 and 8,091.66

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Solution

The fourth proportional to 26,559.66, 39,846 and 8,091.66 is: 12,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,559.66 : 39,846 = 8,091.66 : x
  2. Step 2: Convert to fraction form
    26,559.66/39,846 = 8,091.66/x
  3. Step 3: Cross multiply
    26,559.66x = 39,846 × 8,091.66
  4. Step 4: Simplify right side
    26,559.66x = 322,420,284.36
  5. Step 5: Solve for x
    x = 322,420,284.36/26,559.66
  6. Step 6: Final answer
    x = 12,139.47

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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.