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Finding the Fourth Proportional to 22,330, 33,496.16 and 6,534.96

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Solution

The fourth proportional to 22,330, 33,496.16 and 6,534.96 is: 9,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330 : 33,496.16 = 6,534.96 : x
  2. Step 2: Convert to fraction form
    22,330/33,496.16 = 6,534.96/x
  3. Step 3: Cross multiply
    22,330x = 33,496.16 × 6,534.96
  4. Step 4: Simplify right side
    22,330x = 218,896,065.75
  5. Step 5: Solve for x
    x = 218,896,065.75/22,330
  6. Step 6: Final answer
    x = 9,802.78

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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.