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Finding the Fourth Proportional to 6,920, 9,542.76 and 4,530.68

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Solution

The fourth proportional to 6,920, 9,542.76 and 4,530.68 is: 6,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920 : 9,542.76 = 4,530.68 : x
  2. Step 2: Convert to fraction form
    6,920/9,542.76 = 4,530.68/x
  3. Step 3: Cross multiply
    6,920x = 9,542.76 × 4,530.68
  4. Step 4: Simplify right side
    6,920x = 43,235,191.88
  5. Step 5: Solve for x
    x = 43,235,191.88/6,920
  6. Step 6: Final answer
    x = 6,247.86

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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.