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Finding the Fourth Proportional to 8,059.88, 12,082.80 and 6,497.12

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Solution

The fourth proportional to 8,059.88, 12,082.80 and 6,497.12 is: 9,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.88 : 12,082.80 = 6,497.12 : x
  2. Step 2: Convert to fraction form
    8,059.88/12,082.80 = 6,497.12/x
  3. Step 3: Cross multiply
    8,059.88x = 12,082.80 × 6,497.12
  4. Step 4: Simplify right side
    8,059.88x = 78,503,401.54
  5. Step 5: Solve for x
    x = 78,503,401.54/8,059.88
  6. Step 6: Final answer
    x = 9,740.02

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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.