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Finding the Fourth Proportional to 6,976, 10,469.20 and 4,347.34

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Solution

The fourth proportional to 6,976, 10,469.20 and 4,347.34 is: 6,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 10,469.20 = 4,347.34 : x
  2. Step 2: Convert to fraction form
    6,976/10,469.20 = 4,347.34/x
  3. Step 3: Cross multiply
    6,976x = 10,469.20 × 4,347.34
  4. Step 4: Simplify right side
    6,976x = 45,513,171.93
  5. Step 5: Solve for x
    x = 45,513,171.93/6,976
  6. Step 6: Final answer
    x = 6,524.25

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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.