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Finding the Fourth Proportional to 10,003.41, 15,005.89 and 2,982.89

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Solution

The fourth proportional to 10,003.41, 15,005.89 and 2,982.89 is: 4,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.41 : 15,005.89 = 2,982.89 : x
  2. Step 2: Convert to fraction form
    10,003.41/15,005.89 = 2,982.89/x
  3. Step 3: Cross multiply
    10,003.41x = 15,005.89 × 2,982.89
  4. Step 4: Simplify right side
    10,003.41x = 44,760,859.28
  5. Step 5: Solve for x
    x = 44,760,859.28/10,003.41
  6. Step 6: Final answer
    x = 4,474.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.