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Finding the Fourth Proportional to 7,177.76, 10,766.70 and 6,200.96

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Solution

The fourth proportional to 7,177.76, 10,766.70 and 6,200.96 is: 9,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.76 : 10,766.70 = 6,200.96 : x
  2. Step 2: Convert to fraction form
    7,177.76/10,766.70 = 6,200.96/x
  3. Step 3: Cross multiply
    7,177.76x = 10,766.70 × 6,200.96
  4. Step 4: Simplify right side
    7,177.76x = 66,763,876.03
  5. Step 5: Solve for x
    x = 66,763,876.03/7,177.76
  6. Step 6: Final answer
    x = 9,301.49

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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.