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Finding the Fourth Proportional to 8,174.86, 11,292.69 and 7,871.41

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Solution

The fourth proportional to 8,174.86, 11,292.69 and 7,871.41 is: 10,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.86 : 11,292.69 = 7,871.41 : x
  2. Step 2: Convert to fraction form
    8,174.86/11,292.69 = 7,871.41/x
  3. Step 3: Cross multiply
    8,174.86x = 11,292.69 × 7,871.41
  4. Step 4: Simplify right side
    8,174.86x = 88,889,392.99
  5. Step 5: Solve for x
    x = 88,889,392.99/8,174.86
  6. Step 6: Final answer
    x = 10,873.51

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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.