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Finding the Fourth Proportional to 12,662.29, 17,473.05 and 6,996.97

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Solution

The fourth proportional to 12,662.29, 17,473.05 and 6,996.97 is: 9,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.29 : 17,473.05 = 6,996.97 : x
  2. Step 2: Convert to fraction form
    12,662.29/17,473.05 = 6,996.97/x
  3. Step 3: Cross multiply
    12,662.29x = 17,473.05 × 6,996.97
  4. Step 4: Simplify right side
    12,662.29x = 122,258,406.66
  5. Step 5: Solve for x
    x = 122,258,406.66/12,662.29
  6. Step 6: Final answer
    x = 9,655.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.