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Finding the Fourth Proportional to 12,857.68, 17,745.24 and 7,192.74

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Solution

The fourth proportional to 12,857.68, 17,745.24 and 7,192.74 is: 9,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.68 : 17,745.24 = 7,192.74 : x
  2. Step 2: Convert to fraction form
    12,857.68/17,745.24 = 7,192.74/x
  3. Step 3: Cross multiply
    12,857.68x = 17,745.24 × 7,192.74
  4. Step 4: Simplify right side
    12,857.68x = 127,636,897.56
  5. Step 5: Solve for x
    x = 127,636,897.56/12,857.68
  6. Step 6: Final answer
    x = 9,926.90

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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.