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Finding the Fourth Proportional to 6,536.94, 9,800.40 and 3,247.50

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Solution

The fourth proportional to 6,536.94, 9,800.40 and 3,247.50 is: 4,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.94 : 9,800.40 = 3,247.50 : x
  2. Step 2: Convert to fraction form
    6,536.94/9,800.40 = 3,247.50/x
  3. Step 3: Cross multiply
    6,536.94x = 9,800.40 × 3,247.50
  4. Step 4: Simplify right side
    6,536.94x = 31,826,799
  5. Step 5: Solve for x
    x = 31,826,799/6,536.94
  6. Step 6: Final answer
    x = 4,868.76

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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.