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Finding the Fourth Proportional to 12,325.16, 17,008.72 and 6,736.16

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Solution

The fourth proportional to 12,325.16, 17,008.72 and 6,736.16 is: 9,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.16 : 17,008.72 = 6,736.16 : x
  2. Step 2: Convert to fraction form
    12,325.16/17,008.72 = 6,736.16/x
  3. Step 3: Cross multiply
    12,325.16x = 17,008.72 × 6,736.16
  4. Step 4: Simplify right side
    12,325.16x = 114,573,383.11
  5. Step 5: Solve for x
    x = 114,573,383.11/12,325.16
  6. Step 6: Final answer
    x = 9,295.90

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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.