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Finding the Fourth Proportional to 17,691.74, 24,415.20 and 9,734.30

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Solution

The fourth proportional to 17,691.74, 24,415.20 and 9,734.30 is: 13,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.74 : 24,415.20 = 9,734.30 : x
  2. Step 2: Convert to fraction form
    17,691.74/24,415.20 = 9,734.30/x
  3. Step 3: Cross multiply
    17,691.74x = 24,415.20 × 9,734.30
  4. Step 4: Simplify right side
    17,691.74x = 237,664,881.36
  5. Step 5: Solve for x
    x = 237,664,881.36/17,691.74
  6. Step 6: Final answer
    x = 13,433.66

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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.