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Finding the Fourth Proportional to 17,852.62, 24,638.09 and 9,897.34

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Solution

The fourth proportional to 17,852.62, 24,638.09 and 9,897.34 is: 13,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.62 : 24,638.09 = 9,897.34 : x
  2. Step 2: Convert to fraction form
    17,852.62/24,638.09 = 9,897.34/x
  3. Step 3: Cross multiply
    17,852.62x = 24,638.09 × 9,897.34
  4. Step 4: Simplify right side
    17,852.62x = 243,851,553.68
  5. Step 5: Solve for x
    x = 243,851,553.68/17,852.62
  6. Step 6: Final answer
    x = 13,659.15

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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.