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Finding the Fourth Proportional to 6,689.70, 10,034.58 and 2,743.11

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Solution

The fourth proportional to 6,689.70, 10,034.58 and 2,743.11 is: 4,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.70 : 10,034.58 = 2,743.11 : x
  2. Step 2: Convert to fraction form
    6,689.70/10,034.58 = 2,743.11/x
  3. Step 3: Cross multiply
    6,689.70x = 10,034.58 × 2,743.11
  4. Step 4: Simplify right side
    6,689.70x = 27,525,956.74
  5. Step 5: Solve for x
    x = 27,525,956.74/6,689.70
  6. Step 6: Final answer
    x = 4,114.68

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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.