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Finding the Fourth Proportional to 6,033.48, 8,322.10 and 4,914.46

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Solution

The fourth proportional to 6,033.48, 8,322.10 and 4,914.46 is: 6,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.48 : 8,322.10 = 4,914.46 : x
  2. Step 2: Convert to fraction form
    6,033.48/8,322.10 = 4,914.46/x
  3. Step 3: Cross multiply
    6,033.48x = 8,322.10 × 4,914.46
  4. Step 4: Simplify right side
    6,033.48x = 40,898,627.57
  5. Step 5: Solve for x
    x = 40,898,627.57/6,033.48
  6. Step 6: Final answer
    x = 6,778.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.