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Finding the Fourth Proportional to 26,192.48, 39,288.96 and 7,724.48

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Solution

The fourth proportional to 26,192.48, 39,288.96 and 7,724.48 is: 11,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,192.48 : 39,288.96 = 7,724.48 : x
  2. Step 2: Convert to fraction form
    26,192.48/39,288.96 = 7,724.48/x
  3. Step 3: Cross multiply
    26,192.48x = 39,288.96 × 7,724.48
  4. Step 4: Simplify right side
    26,192.48x = 303,486,785.74
  5. Step 5: Solve for x
    x = 303,486,785.74/26,192.48
  6. Step 6: Final answer
    x = 11,586.79

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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.