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Finding the Fourth Proportional to 38,536.50, 57,804.75 and 10,834.50

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Solution

The fourth proportional to 38,536.50, 57,804.75 and 10,834.50 is: 16,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.50 : 57,804.75 = 10,834.50 : x
  2. Step 2: Convert to fraction form
    38,536.50/57,804.75 = 10,834.50/x
  3. Step 3: Cross multiply
    38,536.50x = 57,804.75 × 10,834.50
  4. Step 4: Simplify right side
    38,536.50x = 626,285,563.88
  5. Step 5: Solve for x
    x = 626,285,563.88/38,536.50
  6. Step 6: Final answer
    x = 16,251.75

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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.