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Finding the Fourth Proportional to 7,020, 10,523.52 and 2,634.48

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Solution

The fourth proportional to 7,020, 10,523.52 and 2,634.48 is: 3,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020 : 10,523.52 = 2,634.48 : x
  2. Step 2: Convert to fraction form
    7,020/10,523.52 = 2,634.48/x
  3. Step 3: Cross multiply
    7,020x = 10,523.52 × 2,634.48
  4. Step 4: Simplify right side
    7,020x = 27,724,002.97
  5. Step 5: Solve for x
    x = 27,724,002.97/7,020
  6. Step 6: Final answer
    x = 3,949.29

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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.