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Finding the Fourth Proportional to 25,883.70, 38,826.41 and 7,162.17

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Solution

The fourth proportional to 25,883.70, 38,826.41 and 7,162.17 is: 10,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.70 : 38,826.41 = 7,162.17 : x
  2. Step 2: Convert to fraction form
    25,883.70/38,826.41 = 7,162.17/x
  3. Step 3: Cross multiply
    25,883.70x = 38,826.41 × 7,162.17
  4. Step 4: Simplify right side
    25,883.70x = 278,081,348.91
  5. Step 5: Solve for x
    x = 278,081,348.91/25,883.70
  6. Step 6: Final answer
    x = 10,743.49

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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.