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Finding the Fourth Proportional to 6,446.08, 8,894.16 and 4,091.20

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Solution

The fourth proportional to 6,446.08, 8,894.16 and 4,091.20 is: 5,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.08 : 8,894.16 = 4,091.20 : x
  2. Step 2: Convert to fraction form
    6,446.08/8,894.16 = 4,091.20/x
  3. Step 3: Cross multiply
    6,446.08x = 8,894.16 × 4,091.20
  4. Step 4: Simplify right side
    6,446.08x = 36,387,787.39
  5. Step 5: Solve for x
    x = 36,387,787.39/6,446.08
  6. Step 6: Final answer
    x = 5,644.95

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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.