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Finding the Fourth Proportional to 17,897.34, 24,698.64 and 9,940.30

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Solution

The fourth proportional to 17,897.34, 24,698.64 and 9,940.30 is: 13,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.34 : 24,698.64 = 9,940.30 : x
  2. Step 2: Convert to fraction form
    17,897.34/24,698.64 = 9,940.30/x
  3. Step 3: Cross multiply
    17,897.34x = 24,698.64 × 9,940.30
  4. Step 4: Simplify right side
    17,897.34x = 245,511,891.19
  5. Step 5: Solve for x
    x = 245,511,891.19/17,897.34
  6. Step 6: Final answer
    x = 13,717.79

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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.