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Finding the Fourth Proportional to 9,093.66, 12,546.65 and 5,458.22

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Solution

The fourth proportional to 9,093.66, 12,546.65 and 5,458.22 is: 7,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.66 : 12,546.65 = 5,458.22 : x
  2. Step 2: Convert to fraction form
    9,093.66/12,546.65 = 5,458.22/x
  3. Step 3: Cross multiply
    9,093.66x = 12,546.65 × 5,458.22
  4. Step 4: Simplify right side
    9,093.66x = 68,482,375.96
  5. Step 5: Solve for x
    x = 68,482,375.96/9,093.66
  6. Step 6: Final answer
    x = 7,530.78

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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.