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Finding the Fourth Proportional to 12,614.43, 17,407.29 and 7,310.97

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Solution

The fourth proportional to 12,614.43, 17,407.29 and 7,310.97 is: 10,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.43 : 17,407.29 = 7,310.97 : x
  2. Step 2: Convert to fraction form
    12,614.43/17,407.29 = 7,310.97/x
  3. Step 3: Cross multiply
    12,614.43x = 17,407.29 × 7,310.97
  4. Step 4: Simplify right side
    12,614.43x = 127,264,174.97
  5. Step 5: Solve for x
    x = 127,264,174.97/12,614.43
  6. Step 6: Final answer
    x = 10,088.78

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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.