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Finding the Fourth Proportional to 19,662.84, 29,494.32 and 7,183.20

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Solution

The fourth proportional to 19,662.84, 29,494.32 and 7,183.20 is: 10,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.84 : 29,494.32 = 7,183.20 : x
  2. Step 2: Convert to fraction form
    19,662.84/29,494.32 = 7,183.20/x
  3. Step 3: Cross multiply
    19,662.84x = 29,494.32 × 7,183.20
  4. Step 4: Simplify right side
    19,662.84x = 211,863,599.42
  5. Step 5: Solve for x
    x = 211,863,599.42/19,662.84
  6. Step 6: Final answer
    x = 10,774.82

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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.