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Finding the Fourth Proportional to 8,314.85, 12,472.28 and 3,383.17

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Solution

The fourth proportional to 8,314.85, 12,472.28 and 3,383.17 is: 5,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.85 : 12,472.28 = 3,383.17 : x
  2. Step 2: Convert to fraction form
    8,314.85/12,472.28 = 3,383.17/x
  3. Step 3: Cross multiply
    8,314.85x = 12,472.28 × 3,383.17
  4. Step 4: Simplify right side
    8,314.85x = 42,195,808.12
  5. Step 5: Solve for x
    x = 42,195,808.12/8,314.85
  6. Step 6: Final answer
    x = 5,074.75

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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.