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Finding the Fourth Proportional to 8,543.88, 12,861.14 and 6,095.64

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Solution

The fourth proportional to 8,543.88, 12,861.14 and 6,095.64 is: 9,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.88 : 12,861.14 = 6,095.64 : x
  2. Step 2: Convert to fraction form
    8,543.88/12,861.14 = 6,095.64/x
  3. Step 3: Cross multiply
    8,543.88x = 12,861.14 × 6,095.64
  4. Step 4: Simplify right side
    8,543.88x = 78,396,879.43
  5. Step 5: Solve for x
    x = 78,396,879.43/8,543.88
  6. Step 6: Final answer
    x = 9,175.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.