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Finding the Fourth Proportional to 12,940.71, 17,858.82 and 7,277.24

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Solution

The fourth proportional to 12,940.71, 17,858.82 and 7,277.24 is: 10,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.71 : 17,858.82 = 7,277.24 : x
  2. Step 2: Convert to fraction form
    12,940.71/17,858.82 = 7,277.24/x
  3. Step 3: Cross multiply
    12,940.71x = 17,858.82 × 7,277.24
  4. Step 4: Simplify right side
    12,940.71x = 129,962,919.26
  5. Step 5: Solve for x
    x = 129,962,919.26/12,940.71
  6. Step 6: Final answer
    x = 10,042.95

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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.