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Finding the Fourth Proportional to 7,469.13, 11,203.71 and 2,275

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Solution

The fourth proportional to 7,469.13, 11,203.71 and 2,275 is: 3,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.13 : 11,203.71 = 2,275 : x
  2. Step 2: Convert to fraction form
    7,469.13/11,203.71 = 2,275/x
  3. Step 3: Cross multiply
    7,469.13x = 11,203.71 × 2,275
  4. Step 4: Simplify right side
    7,469.13x = 25,488,440.25
  5. Step 5: Solve for x
    x = 25,488,440.25/7,469.13
  6. Step 6: Final answer
    x = 3,412.50

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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.