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Finding the Fourth Proportional to 8,026.78, 11,077.10 and 4,489.96

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Solution

The fourth proportional to 8,026.78, 11,077.10 and 4,489.96 is: 6,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.78 : 11,077.10 = 4,489.96 : x
  2. Step 2: Convert to fraction form
    8,026.78/11,077.10 = 4,489.96/x
  3. Step 3: Cross multiply
    8,026.78x = 11,077.10 × 4,489.96
  4. Step 4: Simplify right side
    8,026.78x = 49,735,735.92
  5. Step 5: Solve for x
    x = 49,735,735.92/8,026.78
  6. Step 6: Final answer
    x = 6,196.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.