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Finding the Fourth Proportional to 11,454.05, 17,181.08 and 6,846.05

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Solution

The fourth proportional to 11,454.05, 17,181.08 and 6,846.05 is: 10,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.05 : 17,181.08 = 6,846.05 : x
  2. Step 2: Convert to fraction form
    11,454.05/17,181.08 = 6,846.05/x
  3. Step 3: Cross multiply
    11,454.05x = 17,181.08 × 6,846.05
  4. Step 4: Simplify right side
    11,454.05x = 117,622,498.50
  5. Step 5: Solve for x
    x = 117,622,498.50/11,454.05
  6. Step 6: Final answer
    x = 10,269.08

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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.