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Finding the Fourth Proportional to 7,204.49, 9,946.75 and 5,522.78

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Solution

The fourth proportional to 7,204.49, 9,946.75 and 5,522.78 is: 7,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.49 : 9,946.75 = 5,522.78 : x
  2. Step 2: Convert to fraction form
    7,204.49/9,946.75 = 5,522.78/x
  3. Step 3: Cross multiply
    7,204.49x = 9,946.75 × 5,522.78
  4. Step 4: Simplify right side
    7,204.49x = 54,933,733.38
  5. Step 5: Solve for x
    x = 54,933,733.38/7,204.49
  6. Step 6: Final answer
    x = 7,624.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.