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Finding the Fourth Proportional to 12,823.25, 17,696.11 and 7,234.25

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Solution

The fourth proportional to 12,823.25, 17,696.11 and 7,234.25 is: 9,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.25 : 17,696.11 = 7,234.25 : x
  2. Step 2: Convert to fraction form
    12,823.25/17,696.11 = 7,234.25/x
  3. Step 3: Cross multiply
    12,823.25x = 17,696.11 × 7,234.25
  4. Step 4: Simplify right side
    12,823.25x = 128,018,083.77
  5. Step 5: Solve for x
    x = 128,018,083.77/12,823.25
  6. Step 6: Final answer
    x = 9,983.28

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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.