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Finding the Fourth Proportional to 25,626.74, 38,438.74 and 6,906.47

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Solution

The fourth proportional to 25,626.74, 38,438.74 and 6,906.47 is: 10,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626.74 : 38,438.74 = 6,906.47 : x
  2. Step 2: Convert to fraction form
    25,626.74/38,438.74 = 6,906.47/x
  3. Step 3: Cross multiply
    25,626.74x = 38,438.74 × 6,906.47
  4. Step 4: Simplify right side
    25,626.74x = 265,476,132.46
  5. Step 5: Solve for x
    x = 265,476,132.46/25,626.74
  6. Step 6: Final answer
    x = 10,359.34

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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.