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Finding the Fourth Proportional to 17,454.76, 24,087.14 and 9,497

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Solution

The fourth proportional to 17,454.76, 24,087.14 and 9,497 is: 13,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.76 : 24,087.14 = 9,497 : x
  2. Step 2: Convert to fraction form
    17,454.76/24,087.14 = 9,497/x
  3. Step 3: Cross multiply
    17,454.76x = 24,087.14 × 9,497
  4. Step 4: Simplify right side
    17,454.76x = 228,755,568.58
  5. Step 5: Solve for x
    x = 228,755,568.58/17,454.76
  6. Step 6: Final answer
    x = 13,105.63

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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.