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Finding the Fourth Proportional to 26,149.33, 39,224 and 9,506.26

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Solution

The fourth proportional to 26,149.33, 39,224 and 9,506.26 is: 14,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.33 : 39,224 = 9,506.26 : x
  2. Step 2: Convert to fraction form
    26,149.33/39,224 = 9,506.26/x
  3. Step 3: Cross multiply
    26,149.33x = 39,224 × 9,506.26
  4. Step 4: Simplify right side
    26,149.33x = 372,873,542.24
  5. Step 5: Solve for x
    x = 372,873,542.24/26,149.33
  6. Step 6: Final answer
    x = 14,259.39

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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.