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Finding the Fourth Proportional to 6,682, 10,018.38 and 4,809.04

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Solution

The fourth proportional to 6,682, 10,018.38 and 4,809.04 is: 7,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682 : 10,018.38 = 4,809.04 : x
  2. Step 2: Convert to fraction form
    6,682/10,018.38 = 4,809.04/x
  3. Step 3: Cross multiply
    6,682x = 10,018.38 × 4,809.04
  4. Step 4: Simplify right side
    6,682x = 48,178,790.16
  5. Step 5: Solve for x
    x = 48,178,790.16/6,682
  6. Step 6: Final answer
    x = 7,210.23

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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.