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Finding the Fourth Proportional to 8,584.91, 11,846.19 and 4,807.55

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Solution

The fourth proportional to 8,584.91, 11,846.19 and 4,807.55 is: 6,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.91 : 11,846.19 = 4,807.55 : x
  2. Step 2: Convert to fraction form
    8,584.91/11,846.19 = 4,807.55/x
  3. Step 3: Cross multiply
    8,584.91x = 11,846.19 × 4,807.55
  4. Step 4: Simplify right side
    8,584.91x = 56,951,091.50
  5. Step 5: Solve for x
    x = 56,951,091.50/8,584.91
  6. Step 6: Final answer
    x = 6,633.86

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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.