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Finding the Fourth Proportional to 13,249.97, 18,282.88 and 7,583.41

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Solution

The fourth proportional to 13,249.97, 18,282.88 and 7,583.41 is: 10,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.97 : 18,282.88 = 7,583.41 : x
  2. Step 2: Convert to fraction form
    13,249.97/18,282.88 = 7,583.41/x
  3. Step 3: Cross multiply
    13,249.97x = 18,282.88 × 7,583.41
  4. Step 4: Simplify right side
    13,249.97x = 138,646,575.02
  5. Step 5: Solve for x
    x = 138,646,575.02/13,249.97
  6. Step 6: Final answer
    x = 10,463.92

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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.