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Finding the Fourth Proportional to 12,523.66, 17,284.92 and 7,146.88

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Solution

The fourth proportional to 12,523.66, 17,284.92 and 7,146.88 is: 9,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.66 : 17,284.92 = 7,146.88 : x
  2. Step 2: Convert to fraction form
    12,523.66/17,284.92 = 7,146.88/x
  3. Step 3: Cross multiply
    12,523.66x = 17,284.92 × 7,146.88
  4. Step 4: Simplify right side
    12,523.66x = 123,533,249.05
  5. Step 5: Solve for x
    x = 123,533,249.05/12,523.66
  6. Step 6: Final answer
    x = 9,863.99

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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.