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Finding the Fourth Proportional to 7,003.12, 10,450.07 and 6,382.12

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Solution

The fourth proportional to 7,003.12, 10,450.07 and 6,382.12 is: 9,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.12 : 10,450.07 = 6,382.12 : x
  2. Step 2: Convert to fraction form
    7,003.12/10,450.07 = 6,382.12/x
  3. Step 3: Cross multiply
    7,003.12x = 10,450.07 × 6,382.12
  4. Step 4: Simplify right side
    7,003.12x = 66,693,600.75
  5. Step 5: Solve for x
    x = 66,693,600.75/7,003.12
  6. Step 6: Final answer
    x = 9,523.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.