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Finding the Fourth Proportional to 9,074.62, 12,494.34 and 8,244.16

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Solution

The fourth proportional to 9,074.62, 12,494.34 and 8,244.16 is: 11,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.62 : 12,494.34 = 8,244.16 : x
  2. Step 2: Convert to fraction form
    9,074.62/12,494.34 = 8,244.16/x
  3. Step 3: Cross multiply
    9,074.62x = 12,494.34 × 8,244.16
  4. Step 4: Simplify right side
    9,074.62x = 103,005,338.05
  5. Step 5: Solve for x
    x = 103,005,338.05/9,074.62
  6. Step 6: Final answer
    x = 11,350.93

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Double scale
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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.