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Finding the Fourth Proportional to 11,471.58, 17,163.88 and 6,794.10

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Solution

The fourth proportional to 11,471.58, 17,163.88 and 6,794.10 is: 10,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.58 : 17,163.88 = 6,794.10 : x
  2. Step 2: Convert to fraction form
    11,471.58/17,163.88 = 6,794.10/x
  3. Step 3: Cross multiply
    11,471.58x = 17,163.88 × 6,794.10
  4. Step 4: Simplify right side
    11,471.58x = 116,613,117.11
  5. Step 5: Solve for x
    x = 116,613,117.11/11,471.58
  6. Step 6: Final answer
    x = 10,165.39

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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.