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Finding the Fourth Proportional to 9,166.22, 12,655.80 and 8,095.80

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Solution

The fourth proportional to 9,166.22, 12,655.80 and 8,095.80 is: 11,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.22 : 12,655.80 = 8,095.80 : x
  2. Step 2: Convert to fraction form
    9,166.22/12,655.80 = 8,095.80/x
  3. Step 3: Cross multiply
    9,166.22x = 12,655.80 × 8,095.80
  4. Step 4: Simplify right side
    9,166.22x = 102,458,825.64
  5. Step 5: Solve for x
    x = 102,458,825.64/9,166.22
  6. Step 6: Final answer
    x = 11,177.88

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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.