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Finding the Fourth Proportional to 12,977.70, 17,903.67 and 7,940.31

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Solution

The fourth proportional to 12,977.70, 17,903.67 and 7,940.31 is: 10,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.70 : 17,903.67 = 7,940.31 : x
  2. Step 2: Convert to fraction form
    12,977.70/17,903.67 = 7,940.31/x
  3. Step 3: Cross multiply
    12,977.70x = 17,903.67 × 7,940.31
  4. Step 4: Simplify right side
    12,977.70x = 142,160,689.94
  5. Step 5: Solve for x
    x = 142,160,689.94/12,977.70
  6. Step 6: Final answer
    x = 10,954.23

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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.