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Finding the Fourth Proportional to 9,256.76, 13,873.22 and 3,406.44

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Solution

The fourth proportional to 9,256.76, 13,873.22 and 3,406.44 is: 5,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.76 : 13,873.22 = 3,406.44 : x
  2. Step 2: Convert to fraction form
    9,256.76/13,873.22 = 3,406.44/x
  3. Step 3: Cross multiply
    9,256.76x = 13,873.22 × 3,406.44
  4. Step 4: Simplify right side
    9,256.76x = 47,258,291.54
  5. Step 5: Solve for x
    x = 47,258,291.54/9,256.76
  6. Step 6: Final answer
    x = 5,105.27

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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.