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Finding the Fourth Proportional to 11,385.84, 17,078.44 and 6,201.84

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Solution

The fourth proportional to 11,385.84, 17,078.44 and 6,201.84 is: 9,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.84 : 17,078.44 = 6,201.84 : x
  2. Step 2: Convert to fraction form
    11,385.84/17,078.44 = 6,201.84/x
  3. Step 3: Cross multiply
    11,385.84x = 17,078.44 × 6,201.84
  4. Step 4: Simplify right side
    11,385.84x = 105,917,752.33
  5. Step 5: Solve for x
    x = 105,917,752.33/11,385.84
  6. Step 6: Final answer
    x = 9,302.59

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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.