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Finding the Fourth Proportional to 6,711.02, 10,068.54 and 3,205.48

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Solution

The fourth proportional to 6,711.02, 10,068.54 and 3,205.48 is: 4,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.02 : 10,068.54 = 3,205.48 : x
  2. Step 2: Convert to fraction form
    6,711.02/10,068.54 = 3,205.48/x
  3. Step 3: Cross multiply
    6,711.02x = 10,068.54 × 3,205.48
  4. Step 4: Simplify right side
    6,711.02x = 32,274,503.60
  5. Step 5: Solve for x
    x = 32,274,503.60/6,711.02
  6. Step 6: Final answer
    x = 4,809.18

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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.