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Finding the Fourth Proportional to 12,325.97, 17,009.84 and 6,736.97

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Solution

The fourth proportional to 12,325.97, 17,009.84 and 6,736.97 is: 9,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.97 : 17,009.84 = 6,736.97 : x
  2. Step 2: Convert to fraction form
    12,325.97/17,009.84 = 6,736.97/x
  3. Step 3: Cross multiply
    12,325.97x = 17,009.84 × 6,736.97
  4. Step 4: Simplify right side
    12,325.97x = 114,594,748.10
  5. Step 5: Solve for x
    x = 114,594,748.10/12,325.97
  6. Step 6: Final answer
    x = 9,297.02

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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.