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Finding the Fourth Proportional to 27,616.14, 41,424.21 and 6,839.64

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Solution

The fourth proportional to 27,616.14, 41,424.21 and 6,839.64 is: 10,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.14 : 41,424.21 = 6,839.64 : x
  2. Step 2: Convert to fraction form
    27,616.14/41,424.21 = 6,839.64/x
  3. Step 3: Cross multiply
    27,616.14x = 41,424.21 × 6,839.64
  4. Step 4: Simplify right side
    27,616.14x = 283,326,683.68
  5. Step 5: Solve for x
    x = 283,326,683.68/27,616.14
  6. Step 6: Final answer
    x = 10,259.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.