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Finding the Fourth Proportional to 17,906.78, 24,711 and 9,948.94

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Solution

The fourth proportional to 17,906.78, 24,711 and 9,948.94 is: 13,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.78 : 24,711 = 9,948.94 : x
  2. Step 2: Convert to fraction form
    17,906.78/24,711 = 9,948.94/x
  3. Step 3: Cross multiply
    17,906.78x = 24,711 × 9,948.94
  4. Step 4: Simplify right side
    17,906.78x = 245,848,256.34
  5. Step 5: Solve for x
    x = 245,848,256.34/17,906.78
  6. Step 6: Final answer
    x = 13,729.34

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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.