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Finding the Fourth Proportional to 12,837.63, 17,714.17 and 7,171.68

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Solution

The fourth proportional to 12,837.63, 17,714.17 and 7,171.68 is: 9,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.63 : 17,714.17 = 7,171.68 : x
  2. Step 2: Convert to fraction form
    12,837.63/17,714.17 = 7,171.68/x
  3. Step 3: Cross multiply
    12,837.63x = 17,714.17 × 7,171.68
  4. Step 4: Simplify right side
    12,837.63x = 127,040,334.46
  5. Step 5: Solve for x
    x = 127,040,334.46/12,837.63
  6. Step 6: Final answer
    x = 9,895.94

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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.