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Finding the Fourth Proportional to 12,484.56, 17,224.56 and 8,237.73

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Solution

The fourth proportional to 12,484.56, 17,224.56 and 8,237.73 is: 11,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.56 : 17,224.56 = 8,237.73 : x
  2. Step 2: Convert to fraction form
    12,484.56/17,224.56 = 8,237.73/x
  3. Step 3: Cross multiply
    12,484.56x = 17,224.56 × 8,237.73
  4. Step 4: Simplify right side
    12,484.56x = 141,891,274.65
  5. Step 5: Solve for x
    x = 141,891,274.65/12,484.56
  6. Step 6: Final answer
    x = 11,365.34

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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.