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Finding the Fourth Proportional to 12,514, 17,269.64 and 7,546.32

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Solution

The fourth proportional to 12,514, 17,269.64 and 7,546.32 is: 10,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 17,269.64 = 7,546.32 : x
  2. Step 2: Convert to fraction form
    12,514/17,269.64 = 7,546.32/x
  3. Step 3: Cross multiply
    12,514x = 17,269.64 × 7,546.32
  4. Step 4: Simplify right side
    12,514x = 130,322,229.72
  5. Step 5: Solve for x
    x = 130,322,229.72/12,514
  6. Step 6: Final answer
    x = 10,414.11

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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.