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Finding the Fourth Proportional to 6,480.68, 9,714.84 and 2,969.17

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Solution

The fourth proportional to 6,480.68, 9,714.84 and 2,969.17 is: 4,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.68 : 9,714.84 = 2,969.17 : x
  2. Step 2: Convert to fraction form
    6,480.68/9,714.84 = 2,969.17/x
  3. Step 3: Cross multiply
    6,480.68x = 9,714.84 × 2,969.17
  4. Step 4: Simplify right side
    6,480.68x = 28,844,976.06
  5. Step 5: Solve for x
    x = 28,844,976.06/6,480.68
  6. Step 6: Final answer
    x = 4,450.92

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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.