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Finding the Fourth Proportional to 17,907, 24,712.14 and 9,949.56

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Solution

The fourth proportional to 17,907, 24,712.14 and 9,949.56 is: 13,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907 : 24,712.14 = 9,949.56 : x
  2. Step 2: Convert to fraction form
    17,907/24,712.14 = 9,949.56/x
  3. Step 3: Cross multiply
    17,907x = 24,712.14 × 9,949.56
  4. Step 4: Simplify right side
    17,907x = 245,874,919.66
  5. Step 5: Solve for x
    x = 245,874,919.66/17,907
  6. Step 6: Final answer
    x = 13,730.66

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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.