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Finding the Fourth Proportional to 11,365.84, 17,017.26 and 8,584.12

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Solution

The fourth proportional to 11,365.84, 17,017.26 and 8,584.12 is: 12,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.84 : 17,017.26 = 8,584.12 : x
  2. Step 2: Convert to fraction form
    11,365.84/17,017.26 = 8,584.12/x
  3. Step 3: Cross multiply
    11,365.84x = 17,017.26 × 8,584.12
  4. Step 4: Simplify right side
    11,365.84x = 146,078,201.91
  5. Step 5: Solve for x
    x = 146,078,201.91/11,365.84
  6. Step 6: Final answer
    x = 12,852.39

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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.