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Finding the Fourth Proportional to 6,689.70, 10,034.65 and 2,531.67

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Solution

The fourth proportional to 6,689.70, 10,034.65 and 2,531.67 is: 3,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.70 : 10,034.65 = 2,531.67 : x
  2. Step 2: Convert to fraction form
    6,689.70/10,034.65 = 2,531.67/x
  3. Step 3: Cross multiply
    6,689.70x = 10,034.65 × 2,531.67
  4. Step 4: Simplify right side
    6,689.70x = 25,404,387.90
  5. Step 5: Solve for x
    x = 25,404,387.90/6,689.70
  6. Step 6: Final answer
    x = 3,797.54

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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.