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Finding the Fourth Proportional to 12,325.41, 17,009.06 and 6,736.41

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Solution

The fourth proportional to 12,325.41, 17,009.06 and 6,736.41 is: 9,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.41 : 17,009.06 = 6,736.41 : x
  2. Step 2: Convert to fraction form
    12,325.41/17,009.06 = 6,736.41/x
  3. Step 3: Cross multiply
    12,325.41x = 17,009.06 × 6,736.41
  4. Step 4: Simplify right side
    12,325.41x = 114,580,001.87
  5. Step 5: Solve for x
    x = 114,580,001.87/12,325.41
  6. Step 6: Final answer
    x = 9,296.24

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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.