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Finding the Fourth Proportional to 6,686.43, 10,030.86 and 3,766.38

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Solution

The fourth proportional to 6,686.43, 10,030.86 and 3,766.38 is: 5,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.43 : 10,030.86 = 3,766.38 : x
  2. Step 2: Convert to fraction form
    6,686.43/10,030.86 = 3,766.38/x
  3. Step 3: Cross multiply
    6,686.43x = 10,030.86 × 3,766.38
  4. Step 4: Simplify right side
    6,686.43x = 37,780,030.49
  5. Step 5: Solve for x
    x = 37,780,030.49/6,686.43
  6. Step 6: Final answer
    x = 5,650.25

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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.