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Finding the Fourth Proportional to 11,696.82, 17,624.14 and 9,662.40

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Solution

The fourth proportional to 11,696.82, 17,624.14 and 9,662.40 is: 14,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.82 : 17,624.14 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    11,696.82/17,624.14 = 9,662.40/x
  3. Step 3: Cross multiply
    11,696.82x = 17,624.14 × 9,662.40
  4. Step 4: Simplify right side
    11,696.82x = 170,291,490.34
  5. Step 5: Solve for x
    x = 170,291,490.34/11,696.82
  6. Step 6: Final answer
    x = 14,558.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.