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Finding the Fourth Proportional to 12,791.40, 17,649.06 and 7,202.40

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Solution

The fourth proportional to 12,791.40, 17,649.06 and 7,202.40 is: 9,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.40 : 17,649.06 = 7,202.40 : x
  2. Step 2: Convert to fraction form
    12,791.40/17,649.06 = 7,202.40/x
  3. Step 3: Cross multiply
    12,791.40x = 17,649.06 × 7,202.40
  4. Step 4: Simplify right side
    12,791.40x = 127,115,589.74
  5. Step 5: Solve for x
    x = 127,115,589.74/12,791.40
  6. Step 6: Final answer
    x = 9,937.58

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1.5x scale

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.