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Finding the Fourth Proportional to 9,843.62, 14,773.96 and 5,166.93

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Solution

The fourth proportional to 9,843.62, 14,773.96 and 5,166.93 is: 7,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.62 : 14,773.96 = 5,166.93 : x
  2. Step 2: Convert to fraction form
    9,843.62/14,773.96 = 5,166.93/x
  3. Step 3: Cross multiply
    9,843.62x = 14,773.96 × 5,166.93
  4. Step 4: Simplify right side
    9,843.62x = 76,336,017.14
  5. Step 5: Solve for x
    x = 76,336,017.14/9,843.62
  6. Step 6: Final answer
    x = 7,754.87

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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.