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Finding the Fourth Proportional to 12,662.16, 17,473.94 and 6,997.16

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Solution

The fourth proportional to 12,662.16, 17,473.94 and 6,997.16 is: 9,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.16 : 17,473.94 = 6,997.16 : x
  2. Step 2: Convert to fraction form
    12,662.16/17,473.94 = 6,997.16/x
  3. Step 3: Cross multiply
    12,662.16x = 17,473.94 × 6,997.16
  4. Step 4: Simplify right side
    12,662.16x = 122,267,954.01
  5. Step 5: Solve for x
    x = 122,267,954.01/12,662.16
  6. Step 6: Final answer
    x = 9,656.17

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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.