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Finding the Fourth Proportional to 11,698.48, 17,522.96 and 8,180.14

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Solution

The fourth proportional to 11,698.48, 17,522.96 and 8,180.14 is: 12,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.48 : 17,522.96 = 8,180.14 : x
  2. Step 2: Convert to fraction form
    11,698.48/17,522.96 = 8,180.14/x
  3. Step 3: Cross multiply
    11,698.48x = 17,522.96 × 8,180.14
  4. Step 4: Simplify right side
    11,698.48x = 143,340,237.17
  5. Step 5: Solve for x
    x = 143,340,237.17/11,698.48
  6. Step 6: Final answer
    x = 12,252.90

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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.