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Finding the Fourth Proportional to 6,682.35, 10,015.32 and 3,754.50

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Solution

The fourth proportional to 6,682.35, 10,015.32 and 3,754.50 is: 5,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.35 : 10,015.32 = 3,754.50 : x
  2. Step 2: Convert to fraction form
    6,682.35/10,015.32 = 3,754.50/x
  3. Step 3: Cross multiply
    6,682.35x = 10,015.32 × 3,754.50
  4. Step 4: Simplify right side
    6,682.35x = 37,602,518.94
  5. Step 5: Solve for x
    x = 37,602,518.94/6,682.35
  6. Step 6: Final answer
    x = 5,627.14

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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.