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Finding the Fourth Proportional to 8,649, 12,972.28 and 4,939.20

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Solution

The fourth proportional to 8,649, 12,972.28 and 4,939.20 is: 7,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 12,972.28 = 4,939.20 : x
  2. Step 2: Convert to fraction form
    8,649/12,972.28 = 4,939.20/x
  3. Step 3: Cross multiply
    8,649x = 12,972.28 × 4,939.20
  4. Step 4: Simplify right side
    8,649x = 64,072,685.38
  5. Step 5: Solve for x
    x = 64,072,685.38/8,649
  6. Step 6: Final answer
    x = 7,408.10

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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.