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Finding the Fourth Proportional to 6,446.88, 8,905.68 and 6,207.12

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Solution

The fourth proportional to 6,446.88, 8,905.68 and 6,207.12 is: 8,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.88 : 8,905.68 = 6,207.12 : x
  2. Step 2: Convert to fraction form
    6,446.88/8,905.68 = 6,207.12/x
  3. Step 3: Cross multiply
    6,446.88x = 8,905.68 × 6,207.12
  4. Step 4: Simplify right side
    6,446.88x = 55,278,624.44
  5. Step 5: Solve for x
    x = 55,278,624.44/6,446.88
  6. Step 6: Final answer
    x = 8,574.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.