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Finding the Fourth Proportional to 8,638.66, 11,921.19 and 5,102.20

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Solution

The fourth proportional to 8,638.66, 11,921.19 and 5,102.20 is: 7,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.66 : 11,921.19 = 5,102.20 : x
  2. Step 2: Convert to fraction form
    8,638.66/11,921.19 = 5,102.20/x
  3. Step 3: Cross multiply
    8,638.66x = 11,921.19 × 5,102.20
  4. Step 4: Simplify right side
    8,638.66x = 60,824,295.62
  5. Step 5: Solve for x
    x = 60,824,295.62/8,638.66
  6. Step 6: Final answer
    x = 7,040.94

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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.