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Finding the Fourth Proportional to 6,473.57, 9,713.58 and 2,963.57

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Solution

The fourth proportional to 6,473.57, 9,713.58 and 2,963.57 is: 4,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.57 : 9,713.58 = 2,963.57 : x
  2. Step 2: Convert to fraction form
    6,473.57/9,713.58 = 2,963.57/x
  3. Step 3: Cross multiply
    6,473.57x = 9,713.58 × 2,963.57
  4. Step 4: Simplify right side
    6,473.57x = 28,786,874.28
  5. Step 5: Solve for x
    x = 28,786,874.28/6,473.57
  6. Step 6: Final answer
    x = 4,446.83

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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.