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Finding the Fourth Proportional to 6,362.64, 9,529.38 and 6,003

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Solution

The fourth proportional to 6,362.64, 9,529.38 and 6,003 is: 8,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.64 : 9,529.38 = 6,003 : x
  2. Step 2: Convert to fraction form
    6,362.64/9,529.38 = 6,003/x
  3. Step 3: Cross multiply
    6,362.64x = 9,529.38 × 6,003
  4. Step 4: Simplify right side
    6,362.64x = 57,204,868.14
  5. Step 5: Solve for x
    x = 57,204,868.14/6,362.64
  6. Step 6: Final answer
    x = 8,990.74

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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.