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Finding the Fourth Proportional to 8,584.41, 12,884.82 and 5,303.91

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Solution

The fourth proportional to 8,584.41, 12,884.82 and 5,303.91 is: 7,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.41 : 12,884.82 = 5,303.91 : x
  2. Step 2: Convert to fraction form
    8,584.41/12,884.82 = 5,303.91/x
  3. Step 3: Cross multiply
    8,584.41x = 12,884.82 × 5,303.91
  4. Step 4: Simplify right side
    8,584.41x = 68,339,983.91
  5. Step 5: Solve for x
    x = 68,339,983.91/8,584.41
  6. Step 6: Final answer
    x = 7,960.94

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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.