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Finding the Fourth Proportional to 6,376.32, 9,520.84 and 5,713.92

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Solution

The fourth proportional to 6,376.32, 9,520.84 and 5,713.92 is: 8,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.32 : 9,520.84 = 5,713.92 : x
  2. Step 2: Convert to fraction form
    6,376.32/9,520.84 = 5,713.92/x
  3. Step 3: Cross multiply
    6,376.32x = 9,520.84 × 5,713.92
  4. Step 4: Simplify right side
    6,376.32x = 54,401,318.09
  5. Step 5: Solve for x
    x = 54,401,318.09/6,376.32
  6. Step 6: Final answer
    x = 8,531.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.