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Finding the Fourth Proportional to 11,602.62, 17,401.14 and 8,123.76

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Solution

The fourth proportional to 11,602.62, 17,401.14 and 8,123.76 is: 12,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.62 : 17,401.14 = 8,123.76 : x
  2. Step 2: Convert to fraction form
    11,602.62/17,401.14 = 8,123.76/x
  3. Step 3: Cross multiply
    11,602.62x = 17,401.14 × 8,123.76
  4. Step 4: Simplify right side
    11,602.62x = 141,362,685.09
  5. Step 5: Solve for x
    x = 141,362,685.09/11,602.62
  6. Step 6: Final answer
    x = 12,183.69

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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.