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Finding the Fourth Proportional to 12,637.82, 18,942.46 and 7,696.62

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Solution

The fourth proportional to 12,637.82, 18,942.46 and 7,696.62 is: 11,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.82 : 18,942.46 = 7,696.62 : x
  2. Step 2: Convert to fraction form
    12,637.82/18,942.46 = 7,696.62/x
  3. Step 3: Cross multiply
    12,637.82x = 18,942.46 × 7,696.62
  4. Step 4: Simplify right side
    12,637.82x = 145,792,897.24
  5. Step 5: Solve for x
    x = 145,792,897.24/12,637.82
  6. Step 6: Final answer
    x = 11,536.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.