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Finding the Fourth Proportional to 8,561.07, 11,797.90 and 6,166.80

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Solution

The fourth proportional to 8,561.07, 11,797.90 and 6,166.80 is: 8,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.07 : 11,797.90 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    8,561.07/11,797.90 = 6,166.80/x
  3. Step 3: Cross multiply
    8,561.07x = 11,797.90 × 6,166.80
  4. Step 4: Simplify right side
    8,561.07x = 72,755,274.30
  5. Step 5: Solve for x
    x = 72,755,274.30/8,561.07
  6. Step 6: Final answer
    x = 8,498.39

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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.