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Finding the Fourth Proportional to 6,476.66, 9,714.18 and 2,093.66

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Solution

The fourth proportional to 6,476.66, 9,714.18 and 2,093.66 is: 3,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.66 : 9,714.18 = 2,093.66 : x
  2. Step 2: Convert to fraction form
    6,476.66/9,714.18 = 2,093.66/x
  3. Step 3: Cross multiply
    6,476.66x = 9,714.18 × 2,093.66
  4. Step 4: Simplify right side
    6,476.66x = 20,338,190.10
  5. Step 5: Solve for x
    x = 20,338,190.10/6,476.66
  6. Step 6: Final answer
    x = 3,140.23

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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.