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Finding the Fourth Proportional to 11,661.10, 17,496.82 and 6,113.12

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Solution

The fourth proportional to 11,661.10, 17,496.82 and 6,113.12 is: 9,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.10 : 17,496.82 = 6,113.12 : x
  2. Step 2: Convert to fraction form
    11,661.10/17,496.82 = 6,113.12/x
  3. Step 3: Cross multiply
    11,661.10x = 17,496.82 × 6,113.12
  4. Step 4: Simplify right side
    11,661.10x = 106,960,160.28
  5. Step 5: Solve for x
    x = 106,960,160.28/11,661.10
  6. Step 6: Final answer
    x = 9,172.39

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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.