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Finding the Fourth Proportional to 7,627.92, 11,443.78 and 4,116.42

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Solution

The fourth proportional to 7,627.92, 11,443.78 and 4,116.42 is: 6,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.92 : 11,443.78 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    7,627.92/11,443.78 = 4,116.42/x
  3. Step 3: Cross multiply
    7,627.92x = 11,443.78 × 4,116.42
  4. Step 4: Simplify right side
    7,627.92x = 47,107,410.01
  5. Step 5: Solve for x
    x = 47,107,410.01/7,627.92
  6. Step 6: Final answer
    x = 6,175.65

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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.