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Finding the Fourth Proportional to 9,351, 14,046.84 and 5,654.96

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Solution

The fourth proportional to 9,351, 14,046.84 and 5,654.96 is: 8,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 14,046.84 = 5,654.96 : x
  2. Step 2: Convert to fraction form
    9,351/14,046.84 = 5,654.96/x
  3. Step 3: Cross multiply
    9,351x = 14,046.84 × 5,654.96
  4. Step 4: Simplify right side
    9,351x = 79,434,318.33
  5. Step 5: Solve for x
    x = 79,434,318.33/9,351
  6. Step 6: Final answer
    x = 8,494.74

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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.