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Finding the Fourth Proportional to 8,082.12, 12,117 and 7,257.92

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Solution

The fourth proportional to 8,082.12, 12,117 and 7,257.92 is: 10,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.12 : 12,117 = 7,257.92 : x
  2. Step 2: Convert to fraction form
    8,082.12/12,117 = 7,257.92/x
  3. Step 3: Cross multiply
    8,082.12x = 12,117 × 7,257.92
  4. Step 4: Simplify right side
    8,082.12x = 87,944,216.64
  5. Step 5: Solve for x
    x = 87,944,216.64/8,082.12
  6. Step 6: Final answer
    x = 10,881.33

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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.