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Finding the Fourth Proportional to 12,543, 17,309.70 and 6,954.36

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Solution

The fourth proportional to 12,543, 17,309.70 and 6,954.36 is: 9,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543 : 17,309.70 = 6,954.36 : x
  2. Step 2: Convert to fraction form
    12,543/17,309.70 = 6,954.36/x
  3. Step 3: Cross multiply
    12,543x = 17,309.70 × 6,954.36
  4. Step 4: Simplify right side
    12,543x = 120,377,885.29
  5. Step 5: Solve for x
    x = 120,377,885.29/12,543
  6. Step 6: Final answer
    x = 9,597.22

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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.