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Finding the Fourth Proportional to 12,428.44, 17,151.28 and 6,839.44

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Solution

The fourth proportional to 12,428.44, 17,151.28 and 6,839.44 is: 9,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.44 : 17,151.28 = 6,839.44 : x
  2. Step 2: Convert to fraction form
    12,428.44/17,151.28 = 6,839.44/x
  3. Step 3: Cross multiply
    12,428.44x = 17,151.28 × 6,839.44
  4. Step 4: Simplify right side
    12,428.44x = 117,305,090.51
  5. Step 5: Solve for x
    x = 117,305,090.51/12,428.44
  6. Step 6: Final answer
    x = 9,438.44

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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.