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Finding the Fourth Proportional to 8,573.14, 11,842.91 and 8,124.27

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Solution

The fourth proportional to 8,573.14, 11,842.91 and 8,124.27 is: 11,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.14 : 11,842.91 = 8,124.27 : x
  2. Step 2: Convert to fraction form
    8,573.14/11,842.91 = 8,124.27/x
  3. Step 3: Cross multiply
    8,573.14x = 11,842.91 × 8,124.27
  4. Step 4: Simplify right side
    8,573.14x = 96,214,998.43
  5. Step 5: Solve for x
    x = 96,214,998.43/8,573.14
  6. Step 6: Final answer
    x = 11,222.84

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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.