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Finding the Fourth Proportional to 11,966.84, 17,950.50 and 3,201.74

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Solution

The fourth proportional to 11,966.84, 17,950.50 and 3,201.74 is: 4,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.84 : 17,950.50 = 3,201.74 : x
  2. Step 2: Convert to fraction form
    11,966.84/17,950.50 = 3,201.74/x
  3. Step 3: Cross multiply
    11,966.84x = 17,950.50 × 3,201.74
  4. Step 4: Simplify right side
    11,966.84x = 57,472,833.87
  5. Step 5: Solve for x
    x = 57,472,833.87/11,966.84
  6. Step 6: Final answer
    x = 4,802.67

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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.