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Finding the Fourth Proportional to 6,802.09, 10,202.17 and 2,184.49

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Solution

The fourth proportional to 6,802.09, 10,202.17 and 2,184.49 is: 3,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.09 : 10,202.17 = 2,184.49 : x
  2. Step 2: Convert to fraction form
    6,802.09/10,202.17 = 2,184.49/x
  3. Step 3: Cross multiply
    6,802.09x = 10,202.17 × 2,184.49
  4. Step 4: Simplify right side
    6,802.09x = 22,286,538.34
  5. Step 5: Solve for x
    x = 22,286,538.34/6,802.09
  6. Step 6: Final answer
    x = 3,276.43

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1.5x scale

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.