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Finding the Fourth Proportional to 7,685.38, 10,600.68 and 6,209.20

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Solution

The fourth proportional to 7,685.38, 10,600.68 and 6,209.20 is: 8,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.38 : 10,600.68 = 6,209.20 : x
  2. Step 2: Convert to fraction form
    7,685.38/10,600.68 = 6,209.20/x
  3. Step 3: Cross multiply
    7,685.38x = 10,600.68 × 6,209.20
  4. Step 4: Simplify right side
    7,685.38x = 65,821,742.26
  5. Step 5: Solve for x
    x = 65,821,742.26/7,685.38
  6. Step 6: Final answer
    x = 8,564.54

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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.