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Finding the Fourth Proportional to 26,273.50, 39,410.25 and 7,805.50

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Solution

The fourth proportional to 26,273.50, 39,410.25 and 7,805.50 is: 11,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273.50 : 39,410.25 = 7,805.50 : x
  2. Step 2: Convert to fraction form
    26,273.50/39,410.25 = 7,805.50/x
  3. Step 3: Cross multiply
    26,273.50x = 39,410.25 × 7,805.50
  4. Step 4: Simplify right side
    26,273.50x = 307,616,706.38
  5. Step 5: Solve for x
    x = 307,616,706.38/26,273.50
  6. Step 6: Final answer
    x = 11,708.25

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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.