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Finding the Fourth Proportional to 6,446.56, 9,669.84 and 1,829.44

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Solution

The fourth proportional to 6,446.56, 9,669.84 and 1,829.44 is: 2,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.56 : 9,669.84 = 1,829.44 : x
  2. Step 2: Convert to fraction form
    6,446.56/9,669.84 = 1,829.44/x
  3. Step 3: Cross multiply
    6,446.56x = 9,669.84 × 1,829.44
  4. Step 4: Simplify right side
    6,446.56x = 17,690,392.09
  5. Step 5: Solve for x
    x = 17,690,392.09/6,446.56
  6. Step 6: Final answer
    x = 2,744.16

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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.