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Finding the Fourth Proportional to 12,270.77, 18,406.16 and 5,696.09

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Solution

The fourth proportional to 12,270.77, 18,406.16 and 5,696.09 is: 8,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.77 : 18,406.16 = 5,696.09 : x
  2. Step 2: Convert to fraction form
    12,270.77/18,406.16 = 5,696.09/x
  3. Step 3: Cross multiply
    12,270.77x = 18,406.16 × 5,696.09
  4. Step 4: Simplify right side
    12,270.77x = 104,843,143.91
  5. Step 5: Solve for x
    x = 104,843,143.91/12,270.77
  6. Step 6: Final answer
    x = 8,544.14

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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.