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Finding the Fourth Proportional to 12,614.43, 17,407.69 and 7,309.74

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Solution

The fourth proportional to 12,614.43, 17,407.69 and 7,309.74 is: 10,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.43 : 17,407.69 = 7,309.74 : x
  2. Step 2: Convert to fraction form
    12,614.43/17,407.69 = 7,309.74/x
  3. Step 3: Cross multiply
    12,614.43x = 17,407.69 × 7,309.74
  4. Step 4: Simplify right side
    12,614.43x = 127,245,687.90
  5. Step 5: Solve for x
    x = 127,245,687.90/12,614.43
  6. Step 6: Final answer
    x = 10,087.31

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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.