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Finding the Fourth Proportional to 12,541, 17,306.67 and 6,952

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Solution

The fourth proportional to 12,541, 17,306.67 and 6,952 is: 9,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541 : 17,306.67 = 6,952 : x
  2. Step 2: Convert to fraction form
    12,541/17,306.67 = 6,952/x
  3. Step 3: Cross multiply
    12,541x = 17,306.67 × 6,952
  4. Step 4: Simplify right side
    12,541x = 120,315,969.84
  5. Step 5: Solve for x
    x = 120,315,969.84/12,541
  6. Step 6: Final answer
    x = 9,593.81

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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.