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Finding the Fourth Proportional to 8,446.32, 12,671.91 and 4,286.16

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Solution

The fourth proportional to 8,446.32, 12,671.91 and 4,286.16 is: 6,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.32 : 12,671.91 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    8,446.32/12,671.91 = 4,286.16/x
  3. Step 3: Cross multiply
    8,446.32x = 12,671.91 × 4,286.16
  4. Step 4: Simplify right side
    8,446.32x = 54,313,833.77
  5. Step 5: Solve for x
    x = 54,313,833.77/8,446.32
  6. Step 6: Final answer
    x = 6,430.47

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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.