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Finding the Fourth Proportional to 13,201.98, 18,217 and 7,894.86

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Solution

The fourth proportional to 13,201.98, 18,217 and 7,894.86 is: 10,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.98 : 18,217 = 7,894.86 : x
  2. Step 2: Convert to fraction form
    13,201.98/18,217 = 7,894.86/x
  3. Step 3: Cross multiply
    13,201.98x = 18,217 × 7,894.86
  4. Step 4: Simplify right side
    13,201.98x = 143,820,664.62
  5. Step 5: Solve for x
    x = 143,820,664.62/13,201.98
  6. Step 6: Final answer
    x = 10,893.87

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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.