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Finding the Fourth Proportional to 19,009.50, 26,233.92 and 10,626

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Solution

The fourth proportional to 19,009.50, 26,233.92 and 10,626 is: 14,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.50 : 26,233.92 = 10,626 : x
  2. Step 2: Convert to fraction form
    19,009.50/26,233.92 = 10,626/x
  3. Step 3: Cross multiply
    19,009.50x = 26,233.92 × 10,626
  4. Step 4: Simplify right side
    19,009.50x = 278,761,633.92
  5. Step 5: Solve for x
    x = 278,761,633.92/19,009.50
  6. Step 6: Final answer
    x = 14,664.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.