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Finding the Fourth Proportional to 7,656.41, 11,473.89 and 4,138.82

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Solution

The fourth proportional to 7,656.41, 11,473.89 and 4,138.82 is: 6,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.41 : 11,473.89 = 4,138.82 : x
  2. Step 2: Convert to fraction form
    7,656.41/11,473.89 = 4,138.82/x
  3. Step 3: Cross multiply
    7,656.41x = 11,473.89 × 4,138.82
  4. Step 4: Simplify right side
    7,656.41x = 47,488,308.04
  5. Step 5: Solve for x
    x = 47,488,308.04/7,656.41
  6. Step 6: Final answer
    x = 6,202.43

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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.