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Finding the Fourth Proportional to 18,632.84, 27,950.60 and 6,946

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Solution

The fourth proportional to 18,632.84, 27,950.60 and 6,946 is: 10,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.84 : 27,950.60 = 6,946 : x
  2. Step 2: Convert to fraction form
    18,632.84/27,950.60 = 6,946/x
  3. Step 3: Cross multiply
    18,632.84x = 27,950.60 × 6,946
  4. Step 4: Simplify right side
    18,632.84x = 194,144,867.60
  5. Step 5: Solve for x
    x = 194,144,867.60/18,632.84
  6. Step 6: Final answer
    x = 10,419.50

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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.