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Finding the Fourth Proportional to 9,474.64, 14,194.64 and 7,994.50

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Solution

The fourth proportional to 9,474.64, 14,194.64 and 7,994.50 is: 11,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.64 : 14,194.64 = 7,994.50 : x
  2. Step 2: Convert to fraction form
    9,474.64/14,194.64 = 7,994.50/x
  3. Step 3: Cross multiply
    9,474.64x = 14,194.64 × 7,994.50
  4. Step 4: Simplify right side
    9,474.64x = 113,479,033.98
  5. Step 5: Solve for x
    x = 113,479,033.98/9,474.64
  6. Step 6: Final answer
    x = 11,977.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.