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Finding the Fourth Proportional to 8,584.11, 11,841.80 and 5,434.83

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Solution

The fourth proportional to 8,584.11, 11,841.80 and 5,434.83 is: 7,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.11 : 11,841.80 = 5,434.83 : x
  2. Step 2: Convert to fraction form
    8,584.11/11,841.80 = 5,434.83/x
  3. Step 3: Cross multiply
    8,584.11x = 11,841.80 × 5,434.83
  4. Step 4: Simplify right side
    8,584.11x = 64,358,142.72
  5. Step 5: Solve for x
    x = 64,358,142.72/8,584.11
  6. Step 6: Final answer
    x = 7,497.36

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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.