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Finding the Fourth Proportional to 11,564.64, 15,958.62 and 6,850.44

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Solution

The fourth proportional to 11,564.64, 15,958.62 and 6,850.44 is: 9,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 15,958.62 = 6,850.44 : x
  2. Step 2: Convert to fraction form
    11,564.64/15,958.62 = 6,850.44/x
  3. Step 3: Cross multiply
    11,564.64x = 15,958.62 × 6,850.44
  4. Step 4: Simplify right side
    11,564.64x = 109,323,568.79
  5. Step 5: Solve for x
    x = 109,323,568.79/11,564.64
  6. Step 6: Final answer
    x = 9,453.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.