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Finding the Fourth Proportional to 25,206.44, 37,806.78 and 6,739.88

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Solution

The fourth proportional to 25,206.44, 37,806.78 and 6,739.88 is: 10,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.44 : 37,806.78 = 6,739.88 : x
  2. Step 2: Convert to fraction form
    25,206.44/37,806.78 = 6,739.88/x
  3. Step 3: Cross multiply
    25,206.44x = 37,806.78 × 6,739.88
  4. Step 4: Simplify right side
    25,206.44x = 254,813,160.39
  5. Step 5: Solve for x
    x = 254,813,160.39/25,206.44
  6. Step 6: Final answer
    x = 10,109.05

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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.