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Finding the Fourth Proportional to 8,200.65, 11,319.82 and 4,843.48

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Solution

The fourth proportional to 8,200.65, 11,319.82 and 4,843.48 is: 6,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.65 : 11,319.82 = 4,843.48 : x
  2. Step 2: Convert to fraction form
    8,200.65/11,319.82 = 4,843.48/x
  3. Step 3: Cross multiply
    8,200.65x = 11,319.82 × 4,843.48
  4. Step 4: Simplify right side
    8,200.65x = 54,827,240.96
  5. Step 5: Solve for x
    x = 54,827,240.96/8,200.65
  6. Step 6: Final answer
    x = 6,685.72

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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.