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Finding the Fourth Proportional to 6,473.62, 8,932.92 and 3,956.34

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Solution

The fourth proportional to 6,473.62, 8,932.92 and 3,956.34 is: 5,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.62 : 8,932.92 = 3,956.34 : x
  2. Step 2: Convert to fraction form
    6,473.62/8,932.92 = 3,956.34/x
  3. Step 3: Cross multiply
    6,473.62x = 8,932.92 × 3,956.34
  4. Step 4: Simplify right side
    6,473.62x = 35,341,687.37
  5. Step 5: Solve for x
    x = 35,341,687.37/6,473.62
  6. Step 6: Final answer
    x = 5,459.34

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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.