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Finding the Fourth Proportional to 13,025.17, 17,974.71 and 7,057

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Solution

The fourth proportional to 13,025.17, 17,974.71 and 7,057 is: 9,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.17 : 17,974.71 = 7,057 : x
  2. Step 2: Convert to fraction form
    13,025.17/17,974.71 = 7,057/x
  3. Step 3: Cross multiply
    13,025.17x = 17,974.71 × 7,057
  4. Step 4: Simplify right side
    13,025.17x = 126,847,528.47
  5. Step 5: Solve for x
    x = 126,847,528.47/13,025.17
  6. Step 6: Final answer
    x = 9,738.65

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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.