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Finding the Fourth Proportional to 12,230.90, 16,873.17 and 7,753.46

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Solution

The fourth proportional to 12,230.90, 16,873.17 and 7,753.46 is: 10,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.90 : 16,873.17 = 7,753.46 : x
  2. Step 2: Convert to fraction form
    12,230.90/16,873.17 = 7,753.46/x
  3. Step 3: Cross multiply
    12,230.90x = 16,873.17 × 7,753.46
  4. Step 4: Simplify right side
    12,230.90x = 130,825,448.67
  5. Step 5: Solve for x
    x = 130,825,448.67/12,230.90
  6. Step 6: Final answer
    x = 10,696.31

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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.