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Finding the Fourth Proportional to 6,874.67, 10,311.96 and 1,680.50

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Solution

The fourth proportional to 6,874.67, 10,311.96 and 1,680.50 is: 2,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.67 : 10,311.96 = 1,680.50 : x
  2. Step 2: Convert to fraction form
    6,874.67/10,311.96 = 1,680.50/x
  3. Step 3: Cross multiply
    6,874.67x = 10,311.96 × 1,680.50
  4. Step 4: Simplify right side
    6,874.67x = 17,329,248.78
  5. Step 5: Solve for x
    x = 17,329,248.78/6,874.67
  6. Step 6: Final answer
    x = 2,520.74

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1.5x scale

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.