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Finding the Fourth Proportional to 17,729.96, 26,593.98 and 5,417

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Solution

The fourth proportional to 17,729.96, 26,593.98 and 5,417 is: 8,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.96 : 26,593.98 = 5,417 : x
  2. Step 2: Convert to fraction form
    17,729.96/26,593.98 = 5,417/x
  3. Step 3: Cross multiply
    17,729.96x = 26,593.98 × 5,417
  4. Step 4: Simplify right side
    17,729.96x = 144,059,589.66
  5. Step 5: Solve for x
    x = 144,059,589.66/17,729.96
  6. Step 6: Final answer
    x = 8,125.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.