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Finding the Fourth Proportional to 7,003.62, 10,450.80 and 6,382.62

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Solution

The fourth proportional to 7,003.62, 10,450.80 and 6,382.62 is: 9,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.62 : 10,450.80 = 6,382.62 : x
  2. Step 2: Convert to fraction form
    7,003.62/10,450.80 = 6,382.62/x
  3. Step 3: Cross multiply
    7,003.62x = 10,450.80 × 6,382.62
  4. Step 4: Simplify right side
    7,003.62x = 66,703,485.10
  5. Step 5: Solve for x
    x = 66,703,485.10/7,003.62
  6. Step 6: Final answer
    x = 9,524.14

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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.