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Finding the Fourth Proportional to 6,514.56, 8,983.08 and 6,377.88

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Solution

The fourth proportional to 6,514.56, 8,983.08 and 6,377.88 is: 8,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 8,983.08 = 6,377.88 : x
  2. Step 2: Convert to fraction form
    6,514.56/8,983.08 = 6,377.88/x
  3. Step 3: Cross multiply
    6,514.56x = 8,983.08 × 6,377.88
  4. Step 4: Simplify right side
    6,514.56x = 57,293,006.27
  5. Step 5: Solve for x
    x = 57,293,006.27/6,514.56
  6. Step 6: Final answer
    x = 8,794.61

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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.