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Finding the Fourth Proportional to 7,082.82, 10,624.80 and 6,986.88

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Solution

The fourth proportional to 7,082.82, 10,624.80 and 6,986.88 is: 10,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.82 : 10,624.80 = 6,986.88 : x
  2. Step 2: Convert to fraction form
    7,082.82/10,624.80 = 6,986.88/x
  3. Step 3: Cross multiply
    7,082.82x = 10,624.80 × 6,986.88
  4. Step 4: Simplify right side
    7,082.82x = 74,234,202.62
  5. Step 5: Solve for x
    x = 74,234,202.62/7,082.82
  6. Step 6: Final answer
    x = 10,480.88

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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.