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Finding the Fourth Proportional to 9,003.70, 13,517.70 and 5,731.30

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Solution

The fourth proportional to 9,003.70, 13,517.70 and 5,731.30 is: 8,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.70 : 13,517.70 = 5,731.30 : x
  2. Step 2: Convert to fraction form
    9,003.70/13,517.70 = 5,731.30/x
  3. Step 3: Cross multiply
    9,003.70x = 13,517.70 × 5,731.30
  4. Step 4: Simplify right side
    9,003.70x = 77,473,994.01
  5. Step 5: Solve for x
    x = 77,473,994.01/9,003.70
  6. Step 6: Final answer
    x = 8,604.68

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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.