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Finding the Fourth Proportional to 22,147.02, 33,214.86 and 6,561

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Solution

The fourth proportional to 22,147.02, 33,214.86 and 6,561 is: 9,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.02 : 33,214.86 = 6,561 : x
  2. Step 2: Convert to fraction form
    22,147.02/33,214.86 = 6,561/x
  3. Step 3: Cross multiply
    22,147.02x = 33,214.86 × 6,561
  4. Step 4: Simplify right side
    22,147.02x = 217,922,696.46
  5. Step 5: Solve for x
    x = 217,922,696.46/22,147.02
  6. Step 6: Final answer
    x = 9,839.82

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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.