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Finding the Fourth Proportional to 6,835.44, 10,253.12 and 3,911.68

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Solution

The fourth proportional to 6,835.44, 10,253.12 and 3,911.68 is: 5,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.44 : 10,253.12 = 3,911.68 : x
  2. Step 2: Convert to fraction form
    6,835.44/10,253.12 = 3,911.68/x
  3. Step 3: Cross multiply
    6,835.44x = 10,253.12 × 3,911.68
  4. Step 4: Simplify right side
    6,835.44x = 40,106,924.44
  5. Step 5: Solve for x
    x = 40,106,924.44/6,835.44
  6. Step 6: Final answer
    x = 5,867.50

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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.