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Finding the Fourth Proportional to 10,201, 15,304.20 and 3,275.68

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Solution

The fourth proportional to 10,201, 15,304.20 and 3,275.68 is: 4,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201 : 15,304.20 = 3,275.68 : x
  2. Step 2: Convert to fraction form
    10,201/15,304.20 = 3,275.68/x
  3. Step 3: Cross multiply
    10,201x = 15,304.20 × 3,275.68
  4. Step 4: Simplify right side
    10,201x = 50,131,661.86
  5. Step 5: Solve for x
    x = 50,131,661.86/10,201
  6. Step 6: Final answer
    x = 4,914.39

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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.