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Finding the Fourth Proportional to 12,714.41, 17,546.92 and 7,050.93

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Solution

The fourth proportional to 12,714.41, 17,546.92 and 7,050.93 is: 9,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.41 : 17,546.92 = 7,050.93 : x
  2. Step 2: Convert to fraction form
    12,714.41/17,546.92 = 7,050.93/x
  3. Step 3: Cross multiply
    12,714.41x = 17,546.92 × 7,050.93
  4. Step 4: Simplify right side
    12,714.41x = 123,722,115.06
  5. Step 5: Solve for x
    x = 123,722,115.06/12,714.41
  6. Step 6: Final answer
    x = 9,730.86

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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.