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Finding the Fourth Proportional to 7,720, 10,649.68 and 4,882.60

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Solution

The fourth proportional to 7,720, 10,649.68 and 4,882.60 is: 6,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 10,649.68 = 4,882.60 : x
  2. Step 2: Convert to fraction form
    7,720/10,649.68 = 4,882.60/x
  3. Step 3: Cross multiply
    7,720x = 10,649.68 × 4,882.60
  4. Step 4: Simplify right side
    7,720x = 51,998,049.91
  5. Step 5: Solve for x
    x = 51,998,049.91/7,720
  6. Step 6: Final answer
    x = 6,735.50

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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.